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Finding the Fourth Proportional to 2,095.20, 3,144.05 and 778.73

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Solution

The fourth proportional to 2,095.20, 3,144.05 and 778.73 is: 1,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.20 : 3,144.05 = 778.73 : x
  2. Step 2: Convert to fraction form
    2,095.20/3,144.05 = 778.73/x
  3. Step 3: Cross multiply
    2,095.20x = 3,144.05 × 778.73
  4. Step 4: Simplify right side
    2,095.20x = 2,448,375.86
  5. Step 5: Solve for x
    x = 2,448,375.86/2,095.20
  6. Step 6: Final answer
    x = 1,168.56

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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.