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Finding the Fourth Proportional to 2,063, 3,086.73 and 1,447.92

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Solution

The fourth proportional to 2,063, 3,086.73 and 1,447.92 is: 2,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063 : 3,086.73 = 1,447.92 : x
  2. Step 2: Convert to fraction form
    2,063/3,086.73 = 1,447.92/x
  3. Step 3: Cross multiply
    2,063x = 3,086.73 × 1,447.92
  4. Step 4: Simplify right side
    2,063x = 4,469,338.10
  5. Step 5: Solve for x
    x = 4,469,338.10/2,063
  6. Step 6: Final answer
    x = 2,166.43

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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.