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Finding the Fourth Proportional to 1,728.38, 2,593.92 and 755.16

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Solution

The fourth proportional to 1,728.38, 2,593.92 and 755.16 is: 1,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.38 : 2,593.92 = 755.16 : x
  2. Step 2: Convert to fraction form
    1,728.38/2,593.92 = 755.16/x
  3. Step 3: Cross multiply
    1,728.38x = 2,593.92 × 755.16
  4. Step 4: Simplify right side
    1,728.38x = 1,958,824.63
  5. Step 5: Solve for x
    x = 1,958,824.63/1,728.38
  6. Step 6: Final answer
    x = 1,133.33

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Why These Related Problems?

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