Final answer:
The priority in a prolonged latent phase of labor is to monitor the progress and well-being of the mother and baby.
Step-by-step explanation:
In the context of a prolonged latent phase of labor, the identified priority is to monitor the progress and well-being of both the mother and the baby. This can be done through regular monitoring of the fetal heart rate and maternal vital signs, as well as assessing the cervix for further dilation. In some cases, additional interventions such as administering Pitocin to stimulate contractions or providing pain relief measures may be considered.