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Finding the Fourth Proportional to 3,398.40, 4,689.96 and 1,906.24

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Solution

The fourth proportional to 3,398.40, 4,689.96 and 1,906.24 is: 2,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.40 : 4,689.96 = 1,906.24 : x
  2. Step 2: Convert to fraction form
    3,398.40/4,689.96 = 1,906.24/x
  3. Step 3: Cross multiply
    3,398.40x = 4,689.96 × 1,906.24
  4. Step 4: Simplify right side
    3,398.40x = 8,940,189.35
  5. Step 5: Solve for x
    x = 8,940,189.35/3,398.40
  6. Step 6: Final answer
    x = 2,630.71

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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.