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Finding the Fourth Proportional to 2,551.92, 3,519.09 and 2,413.14

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Solution

The fourth proportional to 2,551.92, 3,519.09 and 2,413.14 is: 3,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.92 : 3,519.09 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    2,551.92/3,519.09 = 2,413.14/x
  3. Step 3: Cross multiply
    2,551.92x = 3,519.09 × 2,413.14
  4. Step 4: Simplify right side
    2,551.92x = 8,492,056.84
  5. Step 5: Solve for x
    x = 8,492,056.84/2,551.92
  6. Step 6: Final answer
    x = 3,327.71

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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.