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Finding the Fourth Proportional to 1,819.19, 2,729.98 and 998.05

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Solution

The fourth proportional to 1,819.19, 2,729.98 and 998.05 is: 1,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.19 : 2,729.98 = 998.05 : x
  2. Step 2: Convert to fraction form
    1,819.19/2,729.98 = 998.05/x
  3. Step 3: Cross multiply
    1,819.19x = 2,729.98 × 998.05
  4. Step 4: Simplify right side
    1,819.19x = 2,724,656.54
  5. Step 5: Solve for x
    x = 2,724,656.54/1,819.19
  6. Step 6: Final answer
    x = 1,497.73

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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.