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Finding the Fourth Proportional to 2,132.06, 3,198.08 and 593.06

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Solution

The fourth proportional to 2,132.06, 3,198.08 and 593.06 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.06 : 3,198.08 = 593.06 : x
  2. Step 2: Convert to fraction form
    2,132.06/3,198.08 = 593.06/x
  3. Step 3: Cross multiply
    2,132.06x = 3,198.08 × 593.06
  4. Step 4: Simplify right side
    2,132.06x = 1,896,653.32
  5. Step 5: Solve for x
    x = 1,896,653.32/2,132.06
  6. Step 6: Final answer
    x = 889.59

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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.