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Finding the Fourth Proportional to 2,711.43, 3,741.78 and 1,469.43

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Solution

The fourth proportional to 2,711.43, 3,741.78 and 1,469.43 is: 2,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.43 : 3,741.78 = 1,469.43 : x
  2. Step 2: Convert to fraction form
    2,711.43/3,741.78 = 1,469.43/x
  3. Step 3: Cross multiply
    2,711.43x = 3,741.78 × 1,469.43
  4. Step 4: Simplify right side
    2,711.43x = 5,498,283.79
  5. Step 5: Solve for x
    x = 5,498,283.79/2,711.43
  6. Step 6: Final answer
    x = 2,027.82

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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.