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Finding the Fourth Proportional to 2,112.45, 3,166.44 and 878.15

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Solution

The fourth proportional to 2,112.45, 3,166.44 and 878.15 is: 1,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.45 : 3,166.44 = 878.15 : x
  2. Step 2: Convert to fraction form
    2,112.45/3,166.44 = 878.15/x
  3. Step 3: Cross multiply
    2,112.45x = 3,166.44 × 878.15
  4. Step 4: Simplify right side
    2,112.45x = 2,780,593.45
  5. Step 5: Solve for x
    x = 2,780,593.45/2,112.45
  6. Step 6: Final answer
    x = 1,316.29

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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.