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Finding the Fourth Proportional to 1,906.16, 2,859.90 and 796.19

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Solution

The fourth proportional to 1,906.16, 2,859.90 and 796.19 is: 1,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.16 : 2,859.90 = 796.19 : x
  2. Step 2: Convert to fraction form
    1,906.16/2,859.90 = 796.19/x
  3. Step 3: Cross multiply
    1,906.16x = 2,859.90 × 796.19
  4. Step 4: Simplify right side
    1,906.16x = 2,277,023.78
  5. Step 5: Solve for x
    x = 2,277,023.78/1,906.16
  6. Step 6: Final answer
    x = 1,194.56

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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.