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Finding the Fourth Proportional to 2,611.80, 3,916.36 and 879.16

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Solution

The fourth proportional to 2,611.80, 3,916.36 and 879.16 is: 1,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.80 : 3,916.36 = 879.16 : x
  2. Step 2: Convert to fraction form
    2,611.80/3,916.36 = 879.16/x
  3. Step 3: Cross multiply
    2,611.80x = 3,916.36 × 879.16
  4. Step 4: Simplify right side
    2,611.80x = 3,443,107.06
  5. Step 5: Solve for x
    x = 3,443,107.06/2,611.80
  6. Step 6: Final answer
    x = 1,318.29

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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.