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Finding the Fourth Proportional to 2,772.56, 3,801.20 and 2,722.65

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Solution

The fourth proportional to 2,772.56, 3,801.20 and 2,722.65 is: 3,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 3,801.20 = 2,722.65 : x
  2. Step 2: Convert to fraction form
    2,772.56/3,801.20 = 2,722.65/x
  3. Step 3: Cross multiply
    2,772.56x = 3,801.20 × 2,722.65
  4. Step 4: Simplify right side
    2,772.56x = 10,349,309.31
  5. Step 5: Solve for x
    x = 10,349,309.31/2,772.56
  6. Step 6: Final answer
    x = 3,732.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.