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Finding the Fourth Proportional to 2,578.69, 3,557.89 and 1,694.78

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Solution

The fourth proportional to 2,578.69, 3,557.89 and 1,694.78 is: 2,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.69 : 3,557.89 = 1,694.78 : x
  2. Step 2: Convert to fraction form
    2,578.69/3,557.89 = 1,694.78/x
  3. Step 3: Cross multiply
    2,578.69x = 3,557.89 × 1,694.78
  4. Step 4: Simplify right side
    2,578.69x = 6,029,840.81
  5. Step 5: Solve for x
    x = 6,029,840.81/2,578.69
  6. Step 6: Final answer
    x = 2,338.33

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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.