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Finding the Fourth Proportional to 2,231.38, 3,347.22 and 671.32

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Solution

The fourth proportional to 2,231.38, 3,347.22 and 671.32 is: 1,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.38 : 3,347.22 = 671.32 : x
  2. Step 2: Convert to fraction form
    2,231.38/3,347.22 = 671.32/x
  3. Step 3: Cross multiply
    2,231.38x = 3,347.22 × 671.32
  4. Step 4: Simplify right side
    2,231.38x = 2,247,055.73
  5. Step 5: Solve for x
    x = 2,247,055.73/2,231.38
  6. Step 6: Final answer
    x = 1,007.03

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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.