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Finding the Fourth Proportional to 1,367.06, 2,051.09 and 819.63

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Solution

The fourth proportional to 1,367.06, 2,051.09 and 819.63 is: 1,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.06 : 2,051.09 = 819.63 : x
  2. Step 2: Convert to fraction form
    1,367.06/2,051.09 = 819.63/x
  3. Step 3: Cross multiply
    1,367.06x = 2,051.09 × 819.63
  4. Step 4: Simplify right side
    1,367.06x = 1,681,136.95
  5. Step 5: Solve for x
    x = 1,681,136.95/1,367.06
  6. Step 6: Final answer
    x = 1,229.75

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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.