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Finding the Fourth Proportional to 2,711.77, 3,742.13 and 1,532.81

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Solution

The fourth proportional to 2,711.77, 3,742.13 and 1,532.81 is: 2,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.77 : 3,742.13 = 1,532.81 : x
  2. Step 2: Convert to fraction form
    2,711.77/3,742.13 = 1,532.81/x
  3. Step 3: Cross multiply
    2,711.77x = 3,742.13 × 1,532.81
  4. Step 4: Simplify right side
    2,711.77x = 5,735,987.47
  5. Step 5: Solve for x
    x = 5,735,987.47/2,711.77
  6. Step 6: Final answer
    x = 2,115.22

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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.