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.
[162.95, 199.903, 123.234, 162.505, 228.085, 225.175, 202.398, -14.023, -45.894, -54.614]