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Finding the Fourth Proportional to 1,949.52, 2,922.92 and 779.78

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Solution

The fourth proportional to 1,949.52, 2,922.92 and 779.78 is: 1,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.52 : 2,922.92 = 779.78 : x
  2. Step 2: Convert to fraction form
    1,949.52/2,922.92 = 779.78/x
  3. Step 3: Cross multiply
    1,949.52x = 2,922.92 × 779.78
  4. Step 4: Simplify right side
    1,949.52x = 2,279,234.56
  5. Step 5: Solve for x
    x = 2,279,234.56/1,949.52
  6. Step 6: Final answer
    x = 1,169.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.