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Finding the Fourth Proportional to 1,728.80, 2,593.14 and 574.52

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Solution

The fourth proportional to 1,728.80, 2,593.14 and 574.52 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.80 : 2,593.14 = 574.52 : x
  2. Step 2: Convert to fraction form
    1,728.80/2,593.14 = 574.52/x
  3. Step 3: Cross multiply
    1,728.80x = 2,593.14 × 574.52
  4. Step 4: Simplify right side
    1,728.80x = 1,489,810.79
  5. Step 5: Solve for x
    x = 1,489,810.79/1,728.80
  6. Step 6: Final answer
    x = 861.76

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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.