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Finding the Fourth Proportional to 1,951.96, 2,920.56 and 1,198.78

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Solution

The fourth proportional to 1,951.96, 2,920.56 and 1,198.78 is: 1,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.96 : 2,920.56 = 1,198.78 : x
  2. Step 2: Convert to fraction form
    1,951.96/2,920.56 = 1,198.78/x
  3. Step 3: Cross multiply
    1,951.96x = 2,920.56 × 1,198.78
  4. Step 4: Simplify right side
    1,951.96x = 3,501,108.92
  5. Step 5: Solve for x
    x = 3,501,108.92/1,951.96
  6. Step 6: Final answer
    x = 1,793.64

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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.