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Finding the Fourth Proportional to 2,576.81, 3,865.22 and 1,037.81

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Solution

The fourth proportional to 2,576.81, 3,865.22 and 1,037.81 is: 1,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.81 : 3,865.22 = 1,037.81 : x
  2. Step 2: Convert to fraction form
    2,576.81/3,865.22 = 1,037.81/x
  3. Step 3: Cross multiply
    2,576.81x = 3,865.22 × 1,037.81
  4. Step 4: Simplify right side
    2,576.81x = 4,011,372.33
  5. Step 5: Solve for x
    x = 4,011,372.33/2,576.81
  6. Step 6: Final answer
    x = 1,556.72

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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.