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Finding the Fourth Proportional to 2,754.88, 3,796.76 and 2,007.65

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Solution

The fourth proportional to 2,754.88, 3,796.76 and 2,007.65 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.88 : 3,796.76 = 2,007.65 : x
  2. Step 2: Convert to fraction form
    2,754.88/3,796.76 = 2,007.65/x
  3. Step 3: Cross multiply
    2,754.88x = 3,796.76 × 2,007.65
  4. Step 4: Simplify right side
    2,754.88x = 7,622,579.73
  5. Step 5: Solve for x
    x = 7,622,579.73/2,754.88
  6. Step 6: Final answer
    x = 2,766.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.