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Finding the Fourth Proportional to 2,110.15, 3,166.36 and 878.41

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Solution

The fourth proportional to 2,110.15, 3,166.36 and 878.41 is: 1,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.15 : 3,166.36 = 878.41 : x
  2. Step 2: Convert to fraction form
    2,110.15/3,166.36 = 878.41/x
  3. Step 3: Cross multiply
    2,110.15x = 3,166.36 × 878.41
  4. Step 4: Simplify right side
    2,110.15x = 2,781,362.29
  5. Step 5: Solve for x
    x = 2,781,362.29/2,110.15
  6. Step 6: Final answer
    x = 1,318.09

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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.