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Finding the Fourth Proportional to 2,258.97, 3,387.38 and 959.73

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Solution

The fourth proportional to 2,258.97, 3,387.38 and 959.73 is: 1,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.97 : 3,387.38 = 959.73 : x
  2. Step 2: Convert to fraction form
    2,258.97/3,387.38 = 959.73/x
  3. Step 3: Cross multiply
    2,258.97x = 3,387.38 × 959.73
  4. Step 4: Simplify right side
    2,258.97x = 3,250,965.41
  5. Step 5: Solve for x
    x = 3,250,965.41/2,258.97
  6. Step 6: Final answer
    x = 1,439.14

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Why These Related Problems?

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