2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59793We determine the complete list of anticanonically embedded quasi smooth log Fano 3-folds in weighted projective 4-spaces. This implies that the Reid-Fletcher list of 95 types of anticanonically embedded quasi smooth terminal Fano threefolds in weighted projective 4-spaces is complete. We also prove that there are only finitely many families of quasi smooth Calabi-Yau hypersurfaces in weighted projective spaces of any given dimension.11 pages, LaTeXAlgebraic Geometry14J45 14Q10 (Primary) 32Q20 (Secondary)text