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Finding the Fourth Proportional to 2,819.56, 4,228.00 and 844.43

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Solution

The fourth proportional to 2,819.56, 4,228.00 and 844.43 is: 1,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.56 : 4,228.00 = 844.43 : x
  2. Step 2: Convert to fraction form
    2,819.56/4,228.00 = 844.43/x
  3. Step 3: Cross multiply
    2,819.56x = 4,228.00 × 844.43
  4. Step 4: Simplify right side
    2,819.56x = 3,570,224.68
  5. Step 5: Solve for x
    x = 3,570,224.68/2,819.56
  6. Step 6: Final answer
    x = 1,266.24

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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.