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Finding the Fourth Proportional to 2,529.44, 3,793.96 and 798.08

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Solution

The fourth proportional to 2,529.44, 3,793.96 and 798.08 is: 1,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.44 : 3,793.96 = 798.08 : x
  2. Step 2: Convert to fraction form
    2,529.44/3,793.96 = 798.08/x
  3. Step 3: Cross multiply
    2,529.44x = 3,793.96 × 798.08
  4. Step 4: Simplify right side
    2,529.44x = 3,027,883.60
  5. Step 5: Solve for x
    x = 3,027,883.60/2,529.44
  6. Step 6: Final answer
    x = 1,197.06

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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.