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Finding the Fourth Proportional to 2,231.82, 3,325.46 and 2,132.46

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Solution

The fourth proportional to 2,231.82, 3,325.46 and 2,132.46 is: 3,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.82 : 3,325.46 = 2,132.46 : x
  2. Step 2: Convert to fraction form
    2,231.82/3,325.46 = 2,132.46/x
  3. Step 3: Cross multiply
    2,231.82x = 3,325.46 × 2,132.46
  4. Step 4: Simplify right side
    2,231.82x = 7,091,399.77
  5. Step 5: Solve for x
    x = 7,091,399.77/2,231.82
  6. Step 6: Final answer
    x = 3,177.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.