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Finding the Fourth Proportional to 2,180.08, 3,270.42 and 793.24

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Solution

The fourth proportional to 2,180.08, 3,270.42 and 793.24 is: 1,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.08 : 3,270.42 = 793.24 : x
  2. Step 2: Convert to fraction form
    2,180.08/3,270.42 = 793.24/x
  3. Step 3: Cross multiply
    2,180.08x = 3,270.42 × 793.24
  4. Step 4: Simplify right side
    2,180.08x = 2,594,227.96
  5. Step 5: Solve for x
    x = 2,594,227.96/2,180.08
  6. Step 6: Final answer
    x = 1,189.97

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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.