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Finding the Fourth Proportional to 3,067.34, 4,231.10 and 1,931.20

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Solution

The fourth proportional to 3,067.34, 4,231.10 and 1,931.20 is: 2,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.34 : 4,231.10 = 1,931.20 : x
  2. Step 2: Convert to fraction form
    3,067.34/4,231.10 = 1,931.20/x
  3. Step 3: Cross multiply
    3,067.34x = 4,231.10 × 1,931.20
  4. Step 4: Simplify right side
    3,067.34x = 8,171,100.32
  5. Step 5: Solve for x
    x = 8,171,100.32/3,067.34
  6. Step 6: Final answer
    x = 2,663.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.