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Finding the Fourth Proportional to 2,847.25, 4,270.73 and 767.22

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Solution

The fourth proportional to 2,847.25, 4,270.73 and 767.22 is: 1,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.25 : 4,270.73 = 767.22 : x
  2. Step 2: Convert to fraction form
    2,847.25/4,270.73 = 767.22/x
  3. Step 3: Cross multiply
    2,847.25x = 4,270.73 × 767.22
  4. Step 4: Simplify right side
    2,847.25x = 3,276,593.64
  5. Step 5: Solve for x
    x = 3,276,593.64/2,847.25
  6. Step 6: Final answer
    x = 1,150.79

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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.