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Finding the Fourth Proportional to 1,973.24, 2,961.60 and 819.80

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Solution

The fourth proportional to 1,973.24, 2,961.60 and 819.80 is: 1,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.24 : 2,961.60 = 819.80 : x
  2. Step 2: Convert to fraction form
    1,973.24/2,961.60 = 819.80/x
  3. Step 3: Cross multiply
    1,973.24x = 2,961.60 × 819.80
  4. Step 4: Simplify right side
    1,973.24x = 2,427,919.68
  5. Step 5: Solve for x
    x = 2,427,919.68/1,973.24
  6. Step 6: Final answer
    x = 1,230.42

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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.