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Finding the Fourth Proportional to 2,819.76, 3,882.72 and 2,556.12

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Solution

The fourth proportional to 2,819.76, 3,882.72 and 2,556.12 is: 3,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.76 : 3,882.72 = 2,556.12 : x
  2. Step 2: Convert to fraction form
    2,819.76/3,882.72 = 2,556.12/x
  3. Step 3: Cross multiply
    2,819.76x = 3,882.72 × 2,556.12
  4. Step 4: Simplify right side
    2,819.76x = 9,924,698.25
  5. Step 5: Solve for x
    x = 9,924,698.25/2,819.76
  6. Step 6: Final answer
    x = 3,519.70

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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.