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Finding the Fourth Proportional to 2,550.25, 3,825.36 and 818.88

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Solution

The fourth proportional to 2,550.25, 3,825.36 and 818.88 is: 1,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.25 : 3,825.36 = 818.88 : x
  2. Step 2: Convert to fraction form
    2,550.25/3,825.36 = 818.88/x
  3. Step 3: Cross multiply
    2,550.25x = 3,825.36 × 818.88
  4. Step 4: Simplify right side
    2,550.25x = 3,132,496.45
  5. Step 5: Solve for x
    x = 3,132,496.45/2,550.25
  6. Step 6: Final answer
    x = 1,228.31

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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.