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Finding the Fourth Proportional to 2,582.01, 3,874.56 and 2,372.88

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Solution

The fourth proportional to 2,582.01, 3,874.56 and 2,372.88 is: 3,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.01 : 3,874.56 = 2,372.88 : x
  2. Step 2: Convert to fraction form
    2,582.01/3,874.56 = 2,372.88/x
  3. Step 3: Cross multiply
    2,582.01x = 3,874.56 × 2,372.88
  4. Step 4: Simplify right side
    2,582.01x = 9,193,865.93
  5. Step 5: Solve for x
    x = 9,193,865.93/2,582.01
  6. Step 6: Final answer
    x = 3,560.74

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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.