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Finding the Fourth Proportional to 1,711.68, 2,560.07 and 1,587.15

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Solution

The fourth proportional to 1,711.68, 2,560.07 and 1,587.15 is: 2,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.68 : 2,560.07 = 1,587.15 : x
  2. Step 2: Convert to fraction form
    1,711.68/2,560.07 = 1,587.15/x
  3. Step 3: Cross multiply
    1,711.68x = 2,560.07 × 1,587.15
  4. Step 4: Simplify right side
    1,711.68x = 4,063,207.16
  5. Step 5: Solve for x
    x = 4,063,207.16/1,711.68
  6. Step 6: Final answer
    x = 2,373.81

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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.