In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[-15.675, 72.416, 60.04, 55.899, 127.117, 160.735, -31.562, -19.141, -35.84, 17.841]