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Finding the Fourth Proportional to 1,819.03, 2,728.97 and 520.46

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Solution

The fourth proportional to 1,819.03, 2,728.97 and 520.46 is: 780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.03 : 2,728.97 = 520.46 : x
  2. Step 2: Convert to fraction form
    1,819.03/2,728.97 = 520.46/x
  3. Step 3: Cross multiply
    1,819.03x = 2,728.97 × 520.46
  4. Step 4: Simplify right side
    1,819.03x = 1,420,319.73
  5. Step 5: Solve for x
    x = 1,420,319.73/1,819.03
  6. Step 6: Final answer
    x = 780.81

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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.