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Finding the Fourth Proportional to 2,576.87, 3,861.82 and 1,880.27

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Solution

The fourth proportional to 2,576.87, 3,861.82 and 1,880.27 is: 2,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.87 : 3,861.82 = 1,880.27 : x
  2. Step 2: Convert to fraction form
    2,576.87/3,861.82 = 1,880.27/x
  3. Step 3: Cross multiply
    2,576.87x = 3,861.82 × 1,880.27
  4. Step 4: Simplify right side
    2,576.87x = 7,261,235.58
  5. Step 5: Solve for x
    x = 7,261,235.58/2,576.87
  6. Step 6: Final answer
    x = 2,817.86

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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.