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Finding the Fourth Proportional to 2,255.24, 3,382.65 and 794.40

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Solution

The fourth proportional to 2,255.24, 3,382.65 and 794.40 is: 1,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.24 : 3,382.65 = 794.40 : x
  2. Step 2: Convert to fraction form
    2,255.24/3,382.65 = 794.40/x
  3. Step 3: Cross multiply
    2,255.24x = 3,382.65 × 794.40
  4. Step 4: Simplify right side
    2,255.24x = 2,687,177.16
  5. Step 5: Solve for x
    x = 2,687,177.16/2,255.24
  6. Step 6: Final answer
    x = 1,191.53

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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.