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Finding the Fourth Proportional to 2,711.62, 3,742.05 and 1,469.62

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Solution

The fourth proportional to 2,711.62, 3,742.05 and 1,469.62 is: 2,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.62 : 3,742.05 = 1,469.62 : x
  2. Step 2: Convert to fraction form
    2,711.62/3,742.05 = 1,469.62/x
  3. Step 3: Cross multiply
    2,711.62x = 3,742.05 × 1,469.62
  4. Step 4: Simplify right side
    2,711.62x = 5,499,391.52
  5. Step 5: Solve for x
    x = 5,499,391.52/2,711.62
  6. Step 6: Final answer
    x = 2,028.08

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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.