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Finding the Fourth Proportional to 3,398.57, 4,691.19 and 2,141.74

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Solution

The fourth proportional to 3,398.57, 4,691.19 and 2,141.74 is: 2,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.57 : 4,691.19 = 2,141.74 : x
  2. Step 2: Convert to fraction form
    3,398.57/4,691.19 = 2,141.74/x
  3. Step 3: Cross multiply
    3,398.57x = 4,691.19 × 2,141.74
  4. Step 4: Simplify right side
    3,398.57x = 10,047,309.27
  5. Step 5: Solve for x
    x = 10,047,309.27/3,398.57
  6. Step 6: Final answer
    x = 2,956.33

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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.