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Finding the Fourth Proportional to 2,171.70, 2,996.92 and 1,227.47

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Solution

The fourth proportional to 2,171.70, 2,996.92 and 1,227.47 is: 1,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.70 : 2,996.92 = 1,227.47 : x
  2. Step 2: Convert to fraction form
    2,171.70/2,996.92 = 1,227.47/x
  3. Step 3: Cross multiply
    2,171.70x = 2,996.92 × 1,227.47
  4. Step 4: Simplify right side
    2,171.70x = 3,678,629.39
  5. Step 5: Solve for x
    x = 3,678,629.39/2,171.70
  6. Step 6: Final answer
    x = 1,693.89

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