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.
[37.639, 213.114, 103.439, 89.274, -80.715, -60.097, -94.8, 178.102, -30.889, 124.916]