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Finding the Fourth Proportional to 2,293.76, 3,163.97 and 1,999.73

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Solution

The fourth proportional to 2,293.76, 3,163.97 and 1,999.73 is: 2,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.76 : 3,163.97 = 1,999.73 : x
  2. Step 2: Convert to fraction form
    2,293.76/3,163.97 = 1,999.73/x
  3. Step 3: Cross multiply
    2,293.76x = 3,163.97 × 1,999.73
  4. Step 4: Simplify right side
    2,293.76x = 6,327,074.91
  5. Step 5: Solve for x
    x = 6,327,074.91/2,293.76
  6. Step 6: Final answer
    x = 2,758.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.