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Finding the Fourth Proportional to 2,560.68, 3,842.40 and 2,514.90

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Solution

The fourth proportional to 2,560.68, 3,842.40 and 2,514.90 is: 3,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.68 : 3,842.40 = 2,514.90 : x
  2. Step 2: Convert to fraction form
    2,560.68/3,842.40 = 2,514.90/x
  3. Step 3: Cross multiply
    2,560.68x = 3,842.40 × 2,514.90
  4. Step 4: Simplify right side
    2,560.68x = 9,663,251.76
  5. Step 5: Solve for x
    x = 9,663,251.76/2,560.68
  6. Step 6: Final answer
    x = 3,773.71

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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.