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Finding the Fourth Proportional to 2,645.42, 3,968.54 and 796.29

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Solution

The fourth proportional to 2,645.42, 3,968.54 and 796.29 is: 1,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.42 : 3,968.54 = 796.29 : x
  2. Step 2: Convert to fraction form
    2,645.42/3,968.54 = 796.29/x
  3. Step 3: Cross multiply
    2,645.42x = 3,968.54 × 796.29
  4. Step 4: Simplify right side
    2,645.42x = 3,160,104.74
  5. Step 5: Solve for x
    x = 3,160,104.74/2,645.42
  6. Step 6: Final answer
    x = 1,194.56

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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.