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Finding the Fourth Proportional to 2,711.48, 3,741.82 and 1,532.54

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Solution

The fourth proportional to 2,711.48, 3,741.82 and 1,532.54 is: 2,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.48 : 3,741.82 = 1,532.54 : x
  2. Step 2: Convert to fraction form
    2,711.48/3,741.82 = 1,532.54/x
  3. Step 3: Cross multiply
    2,711.48x = 3,741.82 × 1,532.54
  4. Step 4: Simplify right side
    2,711.48x = 5,734,494.35
  5. Step 5: Solve for x
    x = 5,734,494.35/2,711.48
  6. Step 6: Final answer
    x = 2,114.90

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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.