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Finding the Fourth Proportional to 2,112.08, 3,167.15 and 878.76

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Solution

The fourth proportional to 2,112.08, 3,167.15 and 878.76 is: 1,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.08 : 3,167.15 = 878.76 : x
  2. Step 2: Convert to fraction form
    2,112.08/3,167.15 = 878.76/x
  3. Step 3: Cross multiply
    2,112.08x = 3,167.15 × 878.76
  4. Step 4: Simplify right side
    2,112.08x = 2,783,164.73
  5. Step 5: Solve for x
    x = 2,783,164.73/2,112.08
  6. Step 6: Final answer
    x = 1,317.74

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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.