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Finding the Fourth Proportional to 3,494.56, 4,819.92 and 2,234.20

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Solution

The fourth proportional to 3,494.56, 4,819.92 and 2,234.20 is: 3,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.56 : 4,819.92 = 2,234.20 : x
  2. Step 2: Convert to fraction form
    3,494.56/4,819.92 = 2,234.20/x
  3. Step 3: Cross multiply
    3,494.56x = 4,819.92 × 2,234.20
  4. Step 4: Simplify right side
    3,494.56x = 10,768,665.26
  5. Step 5: Solve for x
    x = 10,768,665.26/3,494.56
  6. Step 6: Final answer
    x = 3,081.55

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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.