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Finding the Fourth Proportional to 2,744.55, 4,117.46 and 796.69

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Solution

The fourth proportional to 2,744.55, 4,117.46 and 796.69 is: 1,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.55 : 4,117.46 = 796.69 : x
  2. Step 2: Convert to fraction form
    2,744.55/4,117.46 = 796.69/x
  3. Step 3: Cross multiply
    2,744.55x = 4,117.46 × 796.69
  4. Step 4: Simplify right side
    2,744.55x = 3,280,339.21
  5. Step 5: Solve for x
    x = 3,280,339.21/2,744.55
  6. Step 6: Final answer
    x = 1,195.22

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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.