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Finding the Fourth Proportional to 2,132, 3,198.12 and 593.12

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Solution

The fourth proportional to 2,132, 3,198.12 and 593.12 is: 889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 3,198.12 = 593.12 : x
  2. Step 2: Convert to fraction form
    2,132/3,198.12 = 593.12/x
  3. Step 3: Cross multiply
    2,132x = 3,198.12 × 593.12
  4. Step 4: Simplify right side
    2,132x = 1,896,868.93
  5. Step 5: Solve for x
    x = 1,896,868.93/2,132
  6. Step 6: Final answer
    x = 889.71

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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.