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Finding the Fourth Proportional to 3,398.43, 4,689.90 and 1,906.50

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Solution

The fourth proportional to 3,398.43, 4,689.90 and 1,906.50 is: 2,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.43 : 4,689.90 = 1,906.50 : x
  2. Step 2: Convert to fraction form
    3,398.43/4,689.90 = 1,906.50/x
  3. Step 3: Cross multiply
    3,398.43x = 4,689.90 × 1,906.50
  4. Step 4: Simplify right side
    3,398.43x = 8,941,294.35
  5. Step 5: Solve for x
    x = 8,941,294.35/3,398.43
  6. Step 6: Final answer
    x = 2,631.01

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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.