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Finding the Fourth Proportional to 2,645.27, 3,968.44 and 796.31

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Solution

The fourth proportional to 2,645.27, 3,968.44 and 796.31 is: 1,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.27 : 3,968.44 = 796.31 : x
  2. Step 2: Convert to fraction form
    2,645.27/3,968.44 = 796.31/x
  3. Step 3: Cross multiply
    2,645.27x = 3,968.44 × 796.31
  4. Step 4: Simplify right side
    2,645.27x = 3,160,108.46
  5. Step 5: Solve for x
    x = 3,160,108.46/2,645.27
  6. Step 6: Final answer
    x = 1,194.63

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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.