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Finding the Fourth Proportional to 2,765.72, 4,147.93 and 791.29

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Solution

The fourth proportional to 2,765.72, 4,147.93 and 791.29 is: 1,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.72 : 4,147.93 = 791.29 : x
  2. Step 2: Convert to fraction form
    2,765.72/4,147.93 = 791.29/x
  3. Step 3: Cross multiply
    2,765.72x = 4,147.93 × 791.29
  4. Step 4: Simplify right side
    2,765.72x = 3,282,215.53
  5. Step 5: Solve for x
    x = 3,282,215.53/2,765.72
  6. Step 6: Final answer
    x = 1,186.75

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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.