Is a traveler obligated to perform the Fajr prayer on time, given the option of combining Dhuhr and Asr prayers either by advancing or delaying them, and likewise for Maghrib and Isha?

The method of combining prayers for a traveler is correct, noting that the concessions for travel are for those who travel a distance qualifying for shortening prayers (83 km) between two towns, from the point of departure to the intended destination. The traveler is permitted to avail themselves of these concessions during their journey, before their arrival, and also after their arrival if they do not intend to reside for four days, excluding the days of arrival and departure.