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Finding the Fourth Proportional to 2,254.59, 3,382.11 and 793.26

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Solution

The fourth proportional to 2,254.59, 3,382.11 and 793.26 is: 1,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.59 : 3,382.11 = 793.26 : x
  2. Step 2: Convert to fraction form
    2,254.59/3,382.11 = 793.26/x
  3. Step 3: Cross multiply
    2,254.59x = 3,382.11 × 793.26
  4. Step 4: Simplify right side
    2,254.59x = 2,682,892.58
  5. Step 5: Solve for x
    x = 2,682,892.58/2,254.59
  6. Step 6: Final answer
    x = 1,189.97

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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.