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Finding the Fourth Proportional to 2,527.50, 3,791.38 and 796.26

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Solution

The fourth proportional to 2,527.50, 3,791.38 and 796.26 is: 1,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.50 : 3,791.38 = 796.26 : x
  2. Step 2: Convert to fraction form
    2,527.50/3,791.38 = 796.26/x
  3. Step 3: Cross multiply
    2,527.50x = 3,791.38 × 796.26
  4. Step 4: Simplify right side
    2,527.50x = 3,018,924.24
  5. Step 5: Solve for x
    x = 3,018,924.24/2,527.50
  6. Step 6: Final answer
    x = 1,194.43

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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.