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Finding the Fourth Proportional to 2,171.43, 2,996.49 and 1,227.12

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Solution

The fourth proportional to 2,171.43, 2,996.49 and 1,227.12 is: 1,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.43 : 2,996.49 = 1,227.12 : x
  2. Step 2: Convert to fraction form
    2,171.43/2,996.49 = 1,227.12/x
  3. Step 3: Cross multiply
    2,171.43x = 2,996.49 × 1,227.12
  4. Step 4: Simplify right side
    2,171.43x = 3,677,052.81
  5. Step 5: Solve for x
    x = 3,677,052.81/2,171.43
  6. Step 6: Final answer
    x = 1,693.38

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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.