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Finding the Fourth Proportional to 2,408.42, 3,323.86 and 1,413.68

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Solution

The fourth proportional to 2,408.42, 3,323.86 and 1,413.68 is: 1,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.42 : 3,323.86 = 1,413.68 : x
  2. Step 2: Convert to fraction form
    2,408.42/3,323.86 = 1,413.68/x
  3. Step 3: Cross multiply
    2,408.42x = 3,323.86 × 1,413.68
  4. Step 4: Simplify right side
    2,408.42x = 4,698,867.58
  5. Step 5: Solve for x
    x = 4,698,867.58/2,408.42
  6. Step 6: Final answer
    x = 1,951.02

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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.