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Finding the Fourth Proportional to 2,814.52, 4,221.24 and 1,082.92

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Solution

The fourth proportional to 2,814.52, 4,221.24 and 1,082.92 is: 1,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.52 : 4,221.24 = 1,082.92 : x
  2. Step 2: Convert to fraction form
    2,814.52/4,221.24 = 1,082.92/x
  3. Step 3: Cross multiply
    2,814.52x = 4,221.24 × 1,082.92
  4. Step 4: Simplify right side
    2,814.52x = 4,571,265.22
  5. Step 5: Solve for x
    x = 4,571,265.22/2,814.52
  6. Step 6: Final answer
    x = 1,624.17

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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.