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Finding the Fourth Proportional to 2,578.82, 3,556.42 and 2,181.31

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Solution

The fourth proportional to 2,578.82, 3,556.42 and 2,181.31 is: 3,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.82 : 3,556.42 = 2,181.31 : x
  2. Step 2: Convert to fraction form
    2,578.82/3,556.42 = 2,181.31/x
  3. Step 3: Cross multiply
    2,578.82x = 3,556.42 × 2,181.31
  4. Step 4: Simplify right side
    2,578.82x = 7,757,640.17
  5. Step 5: Solve for x
    x = 7,757,640.17/2,578.82
  6. Step 6: Final answer
    x = 3,008.22

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