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Finding the Fourth Proportional to 2,275.92, 3,414.69 and 1,042.70

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Solution

The fourth proportional to 2,275.92, 3,414.69 and 1,042.70 is: 1,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.92 : 3,414.69 = 1,042.70 : x
  2. Step 2: Convert to fraction form
    2,275.92/3,414.69 = 1,042.70/x
  3. Step 3: Cross multiply
    2,275.92x = 3,414.69 × 1,042.70
  4. Step 4: Simplify right side
    2,275.92x = 3,560,480.19
  5. Step 5: Solve for x
    x = 3,560,480.19/2,275.92
  6. Step 6: Final answer
    x = 1,564.41

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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.