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Finding the Fourth Proportional to 2,265.92, 3,399.57 and 1,874.15

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Solution

The fourth proportional to 2,265.92, 3,399.57 and 1,874.15 is: 2,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.92 : 3,399.57 = 1,874.15 : x
  2. Step 2: Convert to fraction form
    2,265.92/3,399.57 = 1,874.15/x
  3. Step 3: Cross multiply
    2,265.92x = 3,399.57 × 1,874.15
  4. Step 4: Simplify right side
    2,265.92x = 6,371,287.12
  5. Step 5: Solve for x
    x = 6,371,287.12/2,265.92
  6. Step 6: Final answer
    x = 2,811.79

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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.