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Finding the Fourth Proportional to 1,728.87, 2,593.49 and 574.71

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Solution

The fourth proportional to 1,728.87, 2,593.49 and 574.71 is: 862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.87 : 2,593.49 = 574.71 : x
  2. Step 2: Convert to fraction form
    1,728.87/2,593.49 = 574.71/x
  3. Step 3: Cross multiply
    1,728.87x = 2,593.49 × 574.71
  4. Step 4: Simplify right side
    1,728.87x = 1,490,501.76
  5. Step 5: Solve for x
    x = 1,490,501.76/1,728.87
  6. Step 6: Final answer
    x = 862.12

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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.