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Finding the Fourth Proportional to 3,274.43, 4,906.17 and 2,298.78

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Solution

The fourth proportional to 3,274.43, 4,906.17 and 2,298.78 is: 3,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.43 : 4,906.17 = 2,298.78 : x
  2. Step 2: Convert to fraction form
    3,274.43/4,906.17 = 2,298.78/x
  3. Step 3: Cross multiply
    3,274.43x = 4,906.17 × 2,298.78
  4. Step 4: Simplify right side
    3,274.43x = 11,278,205.47
  5. Step 5: Solve for x
    x = 11,278,205.47/3,274.43
  6. Step 6: Final answer
    x = 3,444.33

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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.