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Finding the Fourth Proportional to 2,112.56, 3,168.17 and 879.65

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Solution

The fourth proportional to 2,112.56, 3,168.17 and 879.65 is: 1,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.56 : 3,168.17 = 879.65 : x
  2. Step 2: Convert to fraction form
    2,112.56/3,168.17 = 879.65/x
  3. Step 3: Cross multiply
    2,112.56x = 3,168.17 × 879.65
  4. Step 4: Simplify right side
    2,112.56x = 2,786,880.74
  5. Step 5: Solve for x
    x = 2,786,880.74/2,112.56
  6. Step 6: Final answer
    x = 1,319.20

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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.