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Finding the Fourth Proportional to 2,414.92, 3,624.72 and 1,166.39

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Solution

The fourth proportional to 2,414.92, 3,624.72 and 1,166.39 is: 1,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.92 : 3,624.72 = 1,166.39 : x
  2. Step 2: Convert to fraction form
    2,414.92/3,624.72 = 1,166.39/x
  3. Step 3: Cross multiply
    2,414.92x = 3,624.72 × 1,166.39
  4. Step 4: Simplify right side
    2,414.92x = 4,227,837.16
  5. Step 5: Solve for x
    x = 4,227,837.16/2,414.92
  6. Step 6: Final answer
    x = 1,750.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.