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Finding the Fourth Proportional to 3,398.23, 4,687.82 and 2,000.71

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Solution

The fourth proportional to 3,398.23, 4,687.82 and 2,000.71 is: 2,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.23 : 4,687.82 = 2,000.71 : x
  2. Step 2: Convert to fraction form
    3,398.23/4,687.82 = 2,000.71/x
  3. Step 3: Cross multiply
    3,398.23x = 4,687.82 × 2,000.71
  4. Step 4: Simplify right side
    3,398.23x = 9,378,944.91
  5. Step 5: Solve for x
    x = 9,378,944.91/3,398.23
  6. Step 6: Final answer
    x = 2,759.95

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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.