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Finding the Fourth Proportional to 2,732.76, 4,101.53 and 1,565.10

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Solution

The fourth proportional to 2,732.76, 4,101.53 and 1,565.10 is: 2,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.76 : 4,101.53 = 1,565.10 : x
  2. Step 2: Convert to fraction form
    2,732.76/4,101.53 = 1,565.10/x
  3. Step 3: Cross multiply
    2,732.76x = 4,101.53 × 1,565.10
  4. Step 4: Simplify right side
    2,732.76x = 6,419,296.78
  5. Step 5: Solve for x
    x = 6,419,296.78/2,732.76
  6. Step 6: Final answer
    x = 2,349.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.