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Finding the Fourth Proportional to 2,132.07, 3,198.10 and 593.07

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Solution

The fourth proportional to 2,132.07, 3,198.10 and 593.07 is: 889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.07 : 3,198.10 = 593.07 : x
  2. Step 2: Convert to fraction form
    2,132.07/3,198.10 = 593.07/x
  3. Step 3: Cross multiply
    2,132.07x = 3,198.10 × 593.07
  4. Step 4: Simplify right side
    2,132.07x = 1,896,678.21
  5. Step 5: Solve for x
    x = 1,896,678.21/2,132.07
  6. Step 6: Final answer
    x = 889.60

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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.