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Finding the Fourth Proportional to 2,171.71, 2,996.96 and 1,201.57

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Solution

The fourth proportional to 2,171.71, 2,996.96 and 1,201.57 is: 1,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.71 : 2,996.96 = 1,201.57 : x
  2. Step 2: Convert to fraction form
    2,171.71/2,996.96 = 1,201.57/x
  3. Step 3: Cross multiply
    2,171.71x = 2,996.96 × 1,201.57
  4. Step 4: Simplify right side
    2,171.71x = 3,601,057.23
  5. Step 5: Solve for x
    x = 3,601,057.23/2,171.71
  6. Step 6: Final answer
    x = 1,658.17

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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.