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Finding the Fourth Proportional to 2,819.74, 4,224.14 and 2,078

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Solution

The fourth proportional to 2,819.74, 4,224.14 and 2,078 is: 3,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.74 : 4,224.14 = 2,078 : x
  2. Step 2: Convert to fraction form
    2,819.74/4,224.14 = 2,078/x
  3. Step 3: Cross multiply
    2,819.74x = 4,224.14 × 2,078
  4. Step 4: Simplify right side
    2,819.74x = 8,777,752.53
  5. Step 5: Solve for x
    x = 8,777,752.53/2,819.74
  6. Step 6: Final answer
    x = 3,112.97

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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.