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Finding the Fourth Proportional to 2,275.71, 3,414.87 and 959.37

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Solution

The fourth proportional to 2,275.71, 3,414.87 and 959.37 is: 1,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.71 : 3,414.87 = 959.37 : x
  2. Step 2: Convert to fraction form
    2,275.71/3,414.87 = 959.37/x
  3. Step 3: Cross multiply
    2,275.71x = 3,414.87 × 959.37
  4. Step 4: Simplify right side
    2,275.71x = 3,276,123.83
  5. Step 5: Solve for x
    x = 3,276,123.83/2,275.71
  6. Step 6: Final answer
    x = 1,439.61

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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.