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Finding the Fourth Proportional to 1,819.52, 2,729.24 and 451.52

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Solution

The fourth proportional to 1,819.52, 2,729.24 and 451.52 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.52 : 2,729.24 = 451.52 : x
  2. Step 2: Convert to fraction form
    1,819.52/2,729.24 = 451.52/x
  3. Step 3: Cross multiply
    1,819.52x = 2,729.24 × 451.52
  4. Step 4: Simplify right side
    1,819.52x = 1,232,306.44
  5. Step 5: Solve for x
    x = 1,232,306.44/1,819.52
  6. Step 6: Final answer
    x = 677.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.