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Finding the Fourth Proportional to 2,578.57, 3,556.08 and 2,181.07

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Solution

The fourth proportional to 2,578.57, 3,556.08 and 2,181.07 is: 3,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.57 : 3,556.08 = 2,181.07 : x
  2. Step 2: Convert to fraction form
    2,578.57/3,556.08 = 2,181.07/x
  3. Step 3: Cross multiply
    2,578.57x = 3,556.08 × 2,181.07
  4. Step 4: Simplify right side
    2,578.57x = 7,756,059.41
  5. Step 5: Solve for x
    x = 7,756,059.41/2,578.57
  6. Step 6: Final answer
    x = 3,007.89

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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.