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Finding the Fourth Proportional to 2,578.82, 3,868.79 and 824.36

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Solution

The fourth proportional to 2,578.82, 3,868.79 and 824.36 is: 1,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.82 : 3,868.79 = 824.36 : x
  2. Step 2: Convert to fraction form
    2,578.82/3,868.79 = 824.36/x
  3. Step 3: Cross multiply
    2,578.82x = 3,868.79 × 824.36
  4. Step 4: Simplify right side
    2,578.82x = 3,189,252.26
  5. Step 5: Solve for x
    x = 3,189,252.26/2,578.82
  6. Step 6: Final answer
    x = 1,236.71

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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.