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Finding the Fourth Proportional to 2,738.87, 4,108.53 and 791.09

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Solution

The fourth proportional to 2,738.87, 4,108.53 and 791.09 is: 1,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.87 : 4,108.53 = 791.09 : x
  2. Step 2: Convert to fraction form
    2,738.87/4,108.53 = 791.09/x
  3. Step 3: Cross multiply
    2,738.87x = 4,108.53 × 791.09
  4. Step 4: Simplify right side
    2,738.87x = 3,250,217.00
  5. Step 5: Solve for x
    x = 3,250,217.00/2,738.87
  6. Step 6: Final answer
    x = 1,186.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.