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Finding the Fourth Proportional to 2,711.71, 3,742.19 and 1,593.01

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Solution

The fourth proportional to 2,711.71, 3,742.19 and 1,593.01 is: 2,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.71 : 3,742.19 = 1,593.01 : x
  2. Step 2: Convert to fraction form
    2,711.71/3,742.19 = 1,593.01/x
  3. Step 3: Cross multiply
    2,711.71x = 3,742.19 × 1,593.01
  4. Step 4: Simplify right side
    2,711.71x = 5,961,348.78
  5. Step 5: Solve for x
    x = 5,961,348.78/2,711.71
  6. Step 6: Final answer
    x = 2,198.37

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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.