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Finding the Fourth Proportional to 1,973.71, 2,961.87 and 819.46

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Solution

The fourth proportional to 1,973.71, 2,961.87 and 819.46 is: 1,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.71 : 2,961.87 = 819.46 : x
  2. Step 2: Convert to fraction form
    1,973.71/2,961.87 = 819.46/x
  3. Step 3: Cross multiply
    1,973.71x = 2,961.87 × 819.46
  4. Step 4: Simplify right side
    1,973.71x = 2,427,133.99
  5. Step 5: Solve for x
    x = 2,427,133.99/1,973.71
  6. Step 6: Final answer
    x = 1,229.73

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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.