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Finding the Fourth Proportional to 2,819.25, 4,230.09 and 1,665

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Solution

The fourth proportional to 2,819.25, 4,230.09 and 1,665 is: 2,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.25 : 4,230.09 = 1,665 : x
  2. Step 2: Convert to fraction form
    2,819.25/4,230.09 = 1,665/x
  3. Step 3: Cross multiply
    2,819.25x = 4,230.09 × 1,665
  4. Step 4: Simplify right side
    2,819.25x = 7,043,099.85
  5. Step 5: Solve for x
    x = 7,043,099.85/2,819.25
  6. Step 6: Final answer
    x = 2,498.22

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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.