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Finding the Fourth Proportional to 3,398.43, 4,691.49 and 2,278.96

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Solution

The fourth proportional to 3,398.43, 4,691.49 and 2,278.96 is: 3,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.43 : 4,691.49 = 2,278.96 : x
  2. Step 2: Convert to fraction form
    3,398.43/4,691.49 = 2,278.96/x
  3. Step 3: Cross multiply
    3,398.43x = 4,691.49 × 2,278.96
  4. Step 4: Simplify right side
    3,398.43x = 10,691,731.37
  5. Step 5: Solve for x
    x = 10,691,731.37/3,398.43
  6. Step 6: Final answer
    x = 3,146.08

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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.