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Finding the Fourth Proportional to 3,144.43, 4,339.10 and 1,728.09

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Solution

The fourth proportional to 3,144.43, 4,339.10 and 1,728.09 is: 2,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.43 : 4,339.10 = 1,728.09 : x
  2. Step 2: Convert to fraction form
    3,144.43/4,339.10 = 1,728.09/x
  3. Step 3: Cross multiply
    3,144.43x = 4,339.10 × 1,728.09
  4. Step 4: Simplify right side
    3,144.43x = 7,498,350.68
  5. Step 5: Solve for x
    x = 7,498,350.68/3,144.43
  6. Step 6: Final answer
    x = 2,384.64

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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.