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Finding the Fourth Proportional to 2,171.43, 3,258.96 and 939.78

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Solution

The fourth proportional to 2,171.43, 3,258.96 and 939.78 is: 1,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.43 : 3,258.96 = 939.78 : x
  2. Step 2: Convert to fraction form
    2,171.43/3,258.96 = 939.78/x
  3. Step 3: Cross multiply
    2,171.43x = 3,258.96 × 939.78
  4. Step 4: Simplify right side
    2,171.43x = 3,062,705.43
  5. Step 5: Solve for x
    x = 3,062,705.43/2,171.43
  6. Step 6: Final answer
    x = 1,410.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.