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Finding the Fourth Proportional to 2,819.88, 3,856.91 and 2,774.52

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Solution

The fourth proportional to 2,819.88, 3,856.91 and 2,774.52 is: 3,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.88 : 3,856.91 = 2,774.52 : x
  2. Step 2: Convert to fraction form
    2,819.88/3,856.91 = 2,774.52/x
  3. Step 3: Cross multiply
    2,819.88x = 3,856.91 × 2,774.52
  4. Step 4: Simplify right side
    2,819.88x = 10,701,060.06
  5. Step 5: Solve for x
    x = 10,701,060.06/2,819.88
  6. Step 6: Final answer
    x = 3,794.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.