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Finding the Fourth Proportional to 1,728.92, 2,593.46 and 755

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Solution

The fourth proportional to 1,728.92, 2,593.46 and 755 is: 1,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.92 : 2,593.46 = 755 : x
  2. Step 2: Convert to fraction form
    1,728.92/2,593.46 = 755/x
  3. Step 3: Cross multiply
    1,728.92x = 2,593.46 × 755
  4. Step 4: Simplify right side
    1,728.92x = 1,958,062.30
  5. Step 5: Solve for x
    x = 1,958,062.30/1,728.92
  6. Step 6: Final answer
    x = 1,132.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.