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Finding the Fourth Proportional to 2,408.37, 3,323.86 and 1,413.74

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Solution

The fourth proportional to 2,408.37, 3,323.86 and 1,413.74 is: 1,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.37 : 3,323.86 = 1,413.74 : x
  2. Step 2: Convert to fraction form
    2,408.37/3,323.86 = 1,413.74/x
  3. Step 3: Cross multiply
    2,408.37x = 3,323.86 × 1,413.74
  4. Step 4: Simplify right side
    2,408.37x = 4,699,050.15
  5. Step 5: Solve for x
    x = 4,699,050.15/2,408.37
  6. Step 6: Final answer
    x = 1,951.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.