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Finding the Fourth Proportional to 2,711.59, 3,742.01 and 1,715.83

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Solution

The fourth proportional to 2,711.59, 3,742.01 and 1,715.83 is: 2,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.59 : 3,742.01 = 1,715.83 : x
  2. Step 2: Convert to fraction form
    2,711.59/3,742.01 = 1,715.83/x
  3. Step 3: Cross multiply
    2,711.59x = 3,742.01 × 1,715.83
  4. Step 4: Simplify right side
    2,711.59x = 6,420,644.44
  5. Step 5: Solve for x
    x = 6,420,644.44/2,711.59
  6. Step 6: Final answer
    x = 2,367.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.