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Finding the Fourth Proportional to 2,608.35, 3,912.52 and 878.19

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Solution

The fourth proportional to 2,608.35, 3,912.52 and 878.19 is: 1,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.35 : 3,912.52 = 878.19 : x
  2. Step 2: Convert to fraction form
    2,608.35/3,912.52 = 878.19/x
  3. Step 3: Cross multiply
    2,608.35x = 3,912.52 × 878.19
  4. Step 4: Simplify right side
    2,608.35x = 3,435,916.38
  5. Step 5: Solve for x
    x = 3,435,916.38/2,608.35
  6. Step 6: Final answer
    x = 1,317.28

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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.