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Finding the Fourth Proportional to 2,474.09, 3,414.15 and 1,478.78

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Solution

The fourth proportional to 2,474.09, 3,414.15 and 1,478.78 is: 2,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.09 : 3,414.15 = 1,478.78 : x
  2. Step 2: Convert to fraction form
    2,474.09/3,414.15 = 1,478.78/x
  3. Step 3: Cross multiply
    2,474.09x = 3,414.15 × 1,478.78
  4. Step 4: Simplify right side
    2,474.09x = 5,048,759.67
  5. Step 5: Solve for x
    x = 5,048,759.67/2,474.09
  6. Step 6: Final answer
    x = 2,040.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.