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Finding the Fourth Proportional to 2,738.75, 4,108.14 and 791.12

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Solution

The fourth proportional to 2,738.75, 4,108.14 and 791.12 is: 1,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.75 : 4,108.14 = 791.12 : x
  2. Step 2: Convert to fraction form
    2,738.75/4,108.14 = 791.12/x
  3. Step 3: Cross multiply
    2,738.75x = 4,108.14 × 791.12
  4. Step 4: Simplify right side
    2,738.75x = 3,250,031.72
  5. Step 5: Solve for x
    x = 3,250,031.72/2,738.75
  6. Step 6: Final answer
    x = 1,186.68

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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.