Answer
See answer below.
Work Step by Step
Number of moles of $TiO_2$:
$1.598\ g\div 79.87\ g/mol= 0.0200\ mol$,
From stoichiometry:
$0.0200\ mol$ of Ti, $47.867\ g/mol\times0.0200\ mol=0.958\ g$
Number of moles of $O$:
$(1.438-0.958)\ g\div 15.9994\ g/mol= 0.0300\ mol$
Ratio: $0.0300/0.0200=1.50\approx 3/2$
Empirical formula: $Ti_2O_3$