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Finding the Fourth Proportional to 1,819.56, 2,729.70 and 779.55

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Solution

The fourth proportional to 1,819.56, 2,729.70 and 779.55 is: 1,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.56 : 2,729.70 = 779.55 : x
  2. Step 2: Convert to fraction form
    1,819.56/2,729.70 = 779.55/x
  3. Step 3: Cross multiply
    1,819.56x = 2,729.70 × 779.55
  4. Step 4: Simplify right side
    1,819.56x = 2,127,937.64
  5. Step 5: Solve for x
    x = 2,127,937.64/1,819.56
  6. Step 6: Final answer
    x = 1,169.48

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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.