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Finding the Fourth Proportional to 2,578.78, 3,858.92 and 2,233.29

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Solution

The fourth proportional to 2,578.78, 3,858.92 and 2,233.29 is: 3,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.78 : 3,858.92 = 2,233.29 : x
  2. Step 2: Convert to fraction form
    2,578.78/3,858.92 = 2,233.29/x
  3. Step 3: Cross multiply
    2,578.78x = 3,858.92 × 2,233.29
  4. Step 4: Simplify right side
    2,578.78x = 8,618,076.28
  5. Step 5: Solve for x
    x = 8,618,076.28/2,578.78
  6. Step 6: Final answer
    x = 3,341.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.