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Finding the Fourth Proportional to 2,112.16, 3,168.86 and 879.34

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Solution

The fourth proportional to 2,112.16, 3,168.86 and 879.34 is: 1,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.16 : 3,168.86 = 879.34 : x
  2. Step 2: Convert to fraction form
    2,112.16/3,168.86 = 879.34/x
  3. Step 3: Cross multiply
    2,112.16x = 3,168.86 × 879.34
  4. Step 4: Simplify right side
    2,112.16x = 2,786,505.35
  5. Step 5: Solve for x
    x = 2,786,505.35/2,112.16
  6. Step 6: Final answer
    x = 1,319.27

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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.