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Finding the Fourth Proportional to 2,744.08, 4,116.34 and 796.32

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Solution

The fourth proportional to 2,744.08, 4,116.34 and 796.32 is: 1,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.08 : 4,116.34 = 796.32 : x
  2. Step 2: Convert to fraction form
    2,744.08/4,116.34 = 796.32/x
  3. Step 3: Cross multiply
    2,744.08x = 4,116.34 × 796.32
  4. Step 4: Simplify right side
    2,744.08x = 3,277,923.87
  5. Step 5: Solve for x
    x = 3,277,923.87/2,744.08
  6. Step 6: Final answer
    x = 1,194.54

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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.