Story highlights Trump would have more paths to the White House should those states become more competitive

Trump has closed the gap considerably with Clinton over the past month

Washington (CNN) Donald Trump's rebound in national polls extends to four swing states in which he has either narrowed the margin by which he trailed Hillary Clinton or extended his lead over her, according to a new poll.

A Quinnipiac University survey released Thursday shows Trump trailing by just 2 points in Colorado, a state where Clinton had opened up a wide lead and where Democrats had halted advertising. Clinton is ahead 44% to 42%, within the poll's margin of error.

It's a similarly tightened race in Virginia, where ads had similarly stopped, as Clinton leads by 6 points, 45% to 39%.

In Georgia, Trump is now up by 7 points, 47% to 40%, putting some distance between himself and Clinton in what is typically a reliably Republican state.

And in Iowa, which has leaned in Trump's direction for the entire general election, he is also up by 7 points, 44% to 37%.

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