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Finding the Fourth Proportional to 2,589.72, 3,571.69 and 1,593.21

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Solution

The fourth proportional to 2,589.72, 3,571.69 and 1,593.21 is: 2,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.72 : 3,571.69 = 1,593.21 : x
  2. Step 2: Convert to fraction form
    2,589.72/3,571.69 = 1,593.21/x
  3. Step 3: Cross multiply
    2,589.72x = 3,571.69 × 1,593.21
  4. Step 4: Simplify right side
    2,589.72x = 5,690,452.22
  5. Step 5: Solve for x
    x = 5,690,452.22/2,589.72
  6. Step 6: Final answer
    x = 2,197.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.