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Finding the Fourth Proportional to 2,550.69, 3,825.68 and 819.09

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Solution

The fourth proportional to 2,550.69, 3,825.68 and 819.09 is: 1,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.69 : 3,825.68 = 819.09 : x
  2. Step 2: Convert to fraction form
    2,550.69/3,825.68 = 819.09/x
  3. Step 3: Cross multiply
    2,550.69x = 3,825.68 × 819.09
  4. Step 4: Simplify right side
    2,550.69x = 3,133,572.14
  5. Step 5: Solve for x
    x = 3,133,572.14/2,550.69
  6. Step 6: Final answer
    x = 1,228.52

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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.