They say a DNA swap taken voluntarily from the suspect matched all four crime scenes.
Police say they took DNA samples from about 10 different people and followed up nearly 100 tips before zeroing in on the suspect.
The rapist struck four times since Aug. 1. All four attacks took place within a 14-block stretch in Upper Manhattan.
Police say the most recent attack occurred Sept. 7 when the rapist climbed through a 28-year-old woman's bathroom window.
The victim was also robbed.
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