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Finding the Fourth Proportional to 2,576.56, 3,865.52 and 727.68

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Solution

The fourth proportional to 2,576.56, 3,865.52 and 727.68 is: 1,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.56 : 3,865.52 = 727.68 : x
  2. Step 2: Convert to fraction form
    2,576.56/3,865.52 = 727.68/x
  3. Step 3: Cross multiply
    2,576.56x = 3,865.52 × 727.68
  4. Step 4: Simplify right side
    2,576.56x = 2,812,861.59
  5. Step 5: Solve for x
    x = 2,812,861.59/2,576.56
  6. Step 6: Final answer
    x = 1,091.71

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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.