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Finding the Fourth Proportional to 2,163.78, 3,241.98 and 1,819.35

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Solution

The fourth proportional to 2,163.78, 3,241.98 and 1,819.35 is: 2,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.78 : 3,241.98 = 1,819.35 : x
  2. Step 2: Convert to fraction form
    2,163.78/3,241.98 = 1,819.35/x
  3. Step 3: Cross multiply
    2,163.78x = 3,241.98 × 1,819.35
  4. Step 4: Simplify right side
    2,163.78x = 5,898,296.31
  5. Step 5: Solve for x
    x = 5,898,296.31/2,163.78
  6. Step 6: Final answer
    x = 2,725.92

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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.