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Finding the Fourth Proportional to 2,096.12, 3,144.07 and 779.87

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Solution

The fourth proportional to 2,096.12, 3,144.07 and 779.87 is: 1,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.12 : 3,144.07 = 779.87 : x
  2. Step 2: Convert to fraction form
    2,096.12/3,144.07 = 779.87/x
  3. Step 3: Cross multiply
    2,096.12x = 3,144.07 × 779.87
  4. Step 4: Simplify right side
    2,096.12x = 2,451,946.25
  5. Step 5: Solve for x
    x = 2,451,946.25/2,096.12
  6. Step 6: Final answer
    x = 1,169.76

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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.