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Finding the Fourth Proportional to 2,171.83, 2,996.94 and 1,227.71

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Solution

The fourth proportional to 2,171.83, 2,996.94 and 1,227.71 is: 1,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.83 : 2,996.94 = 1,227.71 : x
  2. Step 2: Convert to fraction form
    2,171.83/2,996.94 = 1,227.71/x
  3. Step 3: Cross multiply
    2,171.83x = 2,996.94 × 1,227.71
  4. Step 4: Simplify right side
    2,171.83x = 3,679,373.21
  5. Step 5: Solve for x
    x = 3,679,373.21/2,171.83
  6. Step 6: Final answer
    x = 1,694.13

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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.