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Finding the Fourth Proportional to 2,711.27, 3,741.51 and 1,532.27

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Solution

The fourth proportional to 2,711.27, 3,741.51 and 1,532.27 is: 2,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.27 : 3,741.51 = 1,532.27 : x
  2. Step 2: Convert to fraction form
    2,711.27/3,741.51 = 1,532.27/x
  3. Step 3: Cross multiply
    2,711.27x = 3,741.51 × 1,532.27
  4. Step 4: Simplify right side
    2,711.27x = 5,733,003.53
  5. Step 5: Solve for x
    x = 5,733,003.53/2,711.27
  6. Step 6: Final answer
    x = 2,114.51

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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.