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Finding the Fourth Proportional to 2,096.08, 3,142.92 and 796.72

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Solution

The fourth proportional to 2,096.08, 3,142.92 and 796.72 is: 1,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.08 : 3,142.92 = 796.72 : x
  2. Step 2: Convert to fraction form
    2,096.08/3,142.92 = 796.72/x
  3. Step 3: Cross multiply
    2,096.08x = 3,142.92 × 796.72
  4. Step 4: Simplify right side
    2,096.08x = 2,504,027.22
  5. Step 5: Solve for x
    x = 2,504,027.22/2,096.08
  6. Step 6: Final answer
    x = 1,194.62

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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.