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Finding the Fourth Proportional to 3,168.27, 4,751.97 and 828.44

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Solution

The fourth proportional to 3,168.27, 4,751.97 and 828.44 is: 1,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.27 : 4,751.97 = 828.44 : x
  2. Step 2: Convert to fraction form
    3,168.27/4,751.97 = 828.44/x
  3. Step 3: Cross multiply
    3,168.27x = 4,751.97 × 828.44
  4. Step 4: Simplify right side
    3,168.27x = 3,936,722.03
  5. Step 5: Solve for x
    x = 3,936,722.03/3,168.27
  6. Step 6: Final answer
    x = 1,242.55

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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.