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Finding the Fourth Proportional to 2,132.38, 3,198.57 and 593.38

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Solution

The fourth proportional to 2,132.38, 3,198.57 and 593.38 is: 890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.38 : 3,198.57 = 593.38 : x
  2. Step 2: Convert to fraction form
    2,132.38/3,198.57 = 593.38/x
  3. Step 3: Cross multiply
    2,132.38x = 3,198.57 × 593.38
  4. Step 4: Simplify right side
    2,132.38x = 1,897,967.47
  5. Step 5: Solve for x
    x = 1,897,967.47/2,132.38
  6. Step 6: Final answer
    x = 890.07

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