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Finding the Fourth Proportional to 2,747.26, 4,121.09 and 773.18

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Solution

The fourth proportional to 2,747.26, 4,121.09 and 773.18 is: 1,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.26 : 4,121.09 = 773.18 : x
  2. Step 2: Convert to fraction form
    2,747.26/4,121.09 = 773.18/x
  3. Step 3: Cross multiply
    2,747.26x = 4,121.09 × 773.18
  4. Step 4: Simplify right side
    2,747.26x = 3,186,344.37
  5. Step 5: Solve for x
    x = 3,186,344.37/2,747.26
  6. Step 6: Final answer
    x = 1,159.83

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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.