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Finding the Fourth Proportional to 3,343.65, 4,616.34 and 2,149.17

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Solution

The fourth proportional to 3,343.65, 4,616.34 and 2,149.17 is: 2,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.65 : 4,616.34 = 2,149.17 : x
  2. Step 2: Convert to fraction form
    3,343.65/4,616.34 = 2,149.17/x
  3. Step 3: Cross multiply
    3,343.65x = 4,616.34 × 2,149.17
  4. Step 4: Simplify right side
    3,343.65x = 9,921,299.44
  5. Step 5: Solve for x
    x = 9,921,299.44/3,343.65
  6. Step 6: Final answer
    x = 2,967.21

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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.