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Finding the Fourth Proportional to 2,592.60, 3,882.12 and 2,378.76

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Solution

The fourth proportional to 2,592.60, 3,882.12 and 2,378.76 is: 3,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.60 : 3,882.12 = 2,378.76 : x
  2. Step 2: Convert to fraction form
    2,592.60/3,882.12 = 2,378.76/x
  3. Step 3: Cross multiply
    2,592.60x = 3,882.12 × 2,378.76
  4. Step 4: Simplify right side
    2,592.60x = 9,234,631.77
  5. Step 5: Solve for x
    x = 9,234,631.77/2,592.60
  6. Step 6: Final answer
    x = 3,561.92

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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.