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Finding the Fourth Proportional to 2,112.15, 3,168.77 and 795.92

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Solution

The fourth proportional to 2,112.15, 3,168.77 and 795.92 is: 1,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.15 : 3,168.77 = 795.92 : x
  2. Step 2: Convert to fraction form
    2,112.15/3,168.77 = 795.92/x
  3. Step 3: Cross multiply
    2,112.15x = 3,168.77 × 795.92
  4. Step 4: Simplify right side
    2,112.15x = 2,522,073.56
  5. Step 5: Solve for x
    x = 2,522,073.56/2,112.15
  6. Step 6: Final answer
    x = 1,194.08

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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.