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Finding the Fourth Proportional to 2,171.88, 2,997.54 and 1,227.78

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Solution

The fourth proportional to 2,171.88, 2,997.54 and 1,227.78 is: 1,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.88 : 2,997.54 = 1,227.78 : x
  2. Step 2: Convert to fraction form
    2,171.88/2,997.54 = 1,227.78/x
  3. Step 3: Cross multiply
    2,171.88x = 2,997.54 × 1,227.78
  4. Step 4: Simplify right side
    2,171.88x = 3,680,319.66
  5. Step 5: Solve for x
    x = 3,680,319.66/2,171.88
  6. Step 6: Final answer
    x = 1,694.53

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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.