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Finding the Fourth Proportional to 2,275.40, 3,414.18 and 814.70

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Solution

The fourth proportional to 2,275.40, 3,414.18 and 814.70 is: 1,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.40 : 3,414.18 = 814.70 : x
  2. Step 2: Convert to fraction form
    2,275.40/3,414.18 = 814.70/x
  3. Step 3: Cross multiply
    2,275.40x = 3,414.18 × 814.70
  4. Step 4: Simplify right side
    2,275.40x = 2,781,532.45
  5. Step 5: Solve for x
    x = 2,781,532.45/2,275.40
  6. Step 6: Final answer
    x = 1,222.44

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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.