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Finding the Fourth Proportional to 2,586.96, 3,876.36 and 1,611.60

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Solution

The fourth proportional to 2,586.96, 3,876.36 and 1,611.60 is: 2,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.96 : 3,876.36 = 1,611.60 : x
  2. Step 2: Convert to fraction form
    2,586.96/3,876.36 = 1,611.60/x
  3. Step 3: Cross multiply
    2,586.96x = 3,876.36 × 1,611.60
  4. Step 4: Simplify right side
    2,586.96x = 6,247,141.78
  5. Step 5: Solve for x
    x = 6,247,141.78/2,586.96
  6. Step 6: Final answer
    x = 2,414.86

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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.