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Finding the Fourth Proportional to 2,711.62, 3,742.05 and 1,532.80

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Solution

The fourth proportional to 2,711.62, 3,742.05 and 1,532.80 is: 2,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.62 : 3,742.05 = 1,532.80 : x
  2. Step 2: Convert to fraction form
    2,711.62/3,742.05 = 1,532.80/x
  3. Step 3: Cross multiply
    2,711.62x = 3,742.05 × 1,532.80
  4. Step 4: Simplify right side
    2,711.62x = 5,735,814.24
  5. Step 5: Solve for x
    x = 5,735,814.24/2,711.62
  6. Step 6: Final answer
    x = 2,115.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.