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Finding the Fourth Proportional to 2,882.52, 3,981.96 and 2,292.30

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Solution

The fourth proportional to 2,882.52, 3,981.96 and 2,292.30 is: 3,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.52 : 3,981.96 = 2,292.30 : x
  2. Step 2: Convert to fraction form
    2,882.52/3,981.96 = 2,292.30/x
  3. Step 3: Cross multiply
    2,882.52x = 3,981.96 × 2,292.30
  4. Step 4: Simplify right side
    2,882.52x = 9,127,846.91
  5. Step 5: Solve for x
    x = 9,127,846.91/2,882.52
  6. Step 6: Final answer
    x = 3,166.62

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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.