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Finding the Fourth Proportional to 2,171.47, 2,997.03 and 1,239.97

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Solution

The fourth proportional to 2,171.47, 2,997.03 and 1,239.97 is: 1,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.47 : 2,997.03 = 1,239.97 : x
  2. Step 2: Convert to fraction form
    2,171.47/2,997.03 = 1,239.97/x
  3. Step 3: Cross multiply
    2,171.47x = 2,997.03 × 1,239.97
  4. Step 4: Simplify right side
    2,171.47x = 3,716,227.29
  5. Step 5: Solve for x
    x = 3,716,227.29/2,171.47
  6. Step 6: Final answer
    x = 1,711.39

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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.