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Finding the Fourth Proportional to 1,819.82, 2,729.83 and 521.25

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Solution

The fourth proportional to 1,819.82, 2,729.83 and 521.25 is: 781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.82 : 2,729.83 = 521.25 : x
  2. Step 2: Convert to fraction form
    1,819.82/2,729.83 = 521.25/x
  3. Step 3: Cross multiply
    1,819.82x = 2,729.83 × 521.25
  4. Step 4: Simplify right side
    1,819.82x = 1,422,922.58
  5. Step 5: Solve for x
    x = 1,422,922.58/1,819.82
  6. Step 6: Final answer
    x = 781.91

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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.