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Finding the Fourth Proportional to 2,645.48, 3,968.30 and 796.60

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Solution

The fourth proportional to 2,645.48, 3,968.30 and 796.60 is: 1,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.48 : 3,968.30 = 796.60 : x
  2. Step 2: Convert to fraction form
    2,645.48/3,968.30 = 796.60/x
  3. Step 3: Cross multiply
    2,645.48x = 3,968.30 × 796.60
  4. Step 4: Simplify right side
    2,645.48x = 3,161,147.78
  5. Step 5: Solve for x
    x = 3,161,147.78/2,645.48
  6. Step 6: Final answer
    x = 1,194.92

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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.