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Finding the Fourth Proportional to 3,469.68, 4,786.98 and 2,143.68

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Solution

The fourth proportional to 3,469.68, 4,786.98 and 2,143.68 is: 2,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.68 : 4,786.98 = 2,143.68 : x
  2. Step 2: Convert to fraction form
    3,469.68/4,786.98 = 2,143.68/x
  3. Step 3: Cross multiply
    3,469.68x = 4,786.98 × 2,143.68
  4. Step 4: Simplify right side
    3,469.68x = 10,261,753.29
  5. Step 5: Solve for x
    x = 10,261,753.29/3,469.68
  6. Step 6: Final answer
    x = 2,957.55

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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.