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Finding the Fourth Proportional to 1,906.46, 2,630.57 and 1,067.18

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Solution

The fourth proportional to 1,906.46, 2,630.57 and 1,067.18 is: 1,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.46 : 2,630.57 = 1,067.18 : x
  2. Step 2: Convert to fraction form
    1,906.46/2,630.57 = 1,067.18/x
  3. Step 3: Cross multiply
    1,906.46x = 2,630.57 × 1,067.18
  4. Step 4: Simplify right side
    1,906.46x = 2,807,273.20
  5. Step 5: Solve for x
    x = 2,807,273.20/1,906.46
  6. Step 6: Final answer
    x = 1,472.51

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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.