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Finding the Fourth Proportional to 2,711.39, 3,741.03 and 1,532.43

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Solution

The fourth proportional to 2,711.39, 3,741.03 and 1,532.43 is: 2,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.39 : 3,741.03 = 1,532.43 : x
  2. Step 2: Convert to fraction form
    2,711.39/3,741.03 = 1,532.43/x
  3. Step 3: Cross multiply
    2,711.39x = 3,741.03 × 1,532.43
  4. Step 4: Simplify right side
    2,711.39x = 5,732,866.60
  5. Step 5: Solve for x
    x = 5,732,866.60/2,711.39
  6. Step 6: Final answer
    x = 2,114.37

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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.