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Finding the Fourth Proportional to 1,550.49, 2,326.07 and 819.90

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Solution

The fourth proportional to 1,550.49, 2,326.07 and 819.90 is: 1,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.49 : 2,326.07 = 819.90 : x
  2. Step 2: Convert to fraction form
    1,550.49/2,326.07 = 819.90/x
  3. Step 3: Cross multiply
    1,550.49x = 2,326.07 × 819.90
  4. Step 4: Simplify right side
    1,550.49x = 1,907,144.79
  5. Step 5: Solve for x
    x = 1,907,144.79/1,550.49
  6. Step 6: Final answer
    x = 1,230.03

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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.