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Finding the Fourth Proportional to 2,593.60, 3,882.78 and 1,714.48

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Solution

The fourth proportional to 2,593.60, 3,882.78 and 1,714.48 is: 2,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.60 : 3,882.78 = 1,714.48 : x
  2. Step 2: Convert to fraction form
    2,593.60/3,882.78 = 1,714.48/x
  3. Step 3: Cross multiply
    2,593.60x = 3,882.78 × 1,714.48
  4. Step 4: Simplify right side
    2,593.60x = 6,656,948.65
  5. Step 5: Solve for x
    x = 6,656,948.65/2,593.60
  6. Step 6: Final answer
    x = 2,566.68

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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.