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Finding the Fourth Proportional to 2,726.82, 3,736.79 and 2,464.38

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Solution

The fourth proportional to 2,726.82, 3,736.79 and 2,464.38 is: 3,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.82 : 3,736.79 = 2,464.38 : x
  2. Step 2: Convert to fraction form
    2,726.82/3,736.79 = 2,464.38/x
  3. Step 3: Cross multiply
    2,726.82x = 3,736.79 × 2,464.38
  4. Step 4: Simplify right side
    2,726.82x = 9,208,870.54
  5. Step 5: Solve for x
    x = 9,208,870.54/2,726.82
  6. Step 6: Final answer
    x = 3,377.15

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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.