Hello Mark P,
This may not be quite what you are looking for, but you can get gearing in the form of 17 teeth driver to 9 teeth driven to give you a ratio 1.888 recurring to achieve a very close approximation to 1.89:1.
So, gears of 85/45 if you have those would do what you need [these are the simple multiples by five of the values 17 and 9
Regards Brian