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Finding the Fourth Proportional to 1,819.47, 2,729.19 and 778.59

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Solution

The fourth proportional to 1,819.47, 2,729.19 and 778.59 is: 1,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.47 : 2,729.19 = 778.59 : x
  2. Step 2: Convert to fraction form
    1,819.47/2,729.19 = 778.59/x
  3. Step 3: Cross multiply
    1,819.47x = 2,729.19 × 778.59
  4. Step 4: Simplify right side
    1,819.47x = 2,124,920.04
  5. Step 5: Solve for x
    x = 2,124,920.04/1,819.47
  6. Step 6: Final answer
    x = 1,167.88

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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.