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Finding the Fourth Proportional to 4,275.78, 6,414.24 and 1,678.38

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Solution

The fourth proportional to 4,275.78, 6,414.24 and 1,678.38 is: 2,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.78 : 6,414.24 = 1,678.38 : x
  2. Step 2: Convert to fraction form
    4,275.78/6,414.24 = 1,678.38/x
  3. Step 3: Cross multiply
    4,275.78x = 6,414.24 × 1,678.38
  4. Step 4: Simplify right side
    4,275.78x = 10,765,532.13
  5. Step 5: Solve for x
    x = 10,765,532.13/4,275.78
  6. Step 6: Final answer
    x = 2,517.79

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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.