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Finding the Fourth Proportional to 2,711.92, 3,742.41 and 1,592.67

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Solution

The fourth proportional to 2,711.92, 3,742.41 and 1,592.67 is: 2,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.92 : 3,742.41 = 1,592.67 : x
  2. Step 2: Convert to fraction form
    2,711.92/3,742.41 = 1,592.67/x
  3. Step 3: Cross multiply
    2,711.92x = 3,742.41 × 1,592.67
  4. Step 4: Simplify right side
    2,711.92x = 5,960,424.13
  5. Step 5: Solve for x
    x = 5,960,424.13/2,711.92
  6. Step 6: Final answer
    x = 2,197.86

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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.