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Finding the Fourth Proportional to 2,576.62, 3,864.61 and 1,096.43

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Solution

The fourth proportional to 2,576.62, 3,864.61 and 1,096.43 is: 1,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.62 : 3,864.61 = 1,096.43 : x
  2. Step 2: Convert to fraction form
    2,576.62/3,864.61 = 1,096.43/x
  3. Step 3: Cross multiply
    2,576.62x = 3,864.61 × 1,096.43
  4. Step 4: Simplify right side
    2,576.62x = 4,237,295.97
  5. Step 5: Solve for x
    x = 4,237,295.97/2,576.62
  6. Step 6: Final answer
    x = 1,644.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.