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Finding the Fourth Proportional to 2,275.48, 3,414.54 and 959.15

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Solution

The fourth proportional to 2,275.48, 3,414.54 and 959.15 is: 1,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.48 : 3,414.54 = 959.15 : x
  2. Step 2: Convert to fraction form
    2,275.48/3,414.54 = 959.15/x
  3. Step 3: Cross multiply
    2,275.48x = 3,414.54 × 959.15
  4. Step 4: Simplify right side
    2,275.48x = 3,275,049.47
  5. Step 5: Solve for x
    x = 3,275,049.47/2,275.48
  6. Step 6: Final answer
    x = 1,439.28

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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.