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Finding the Fourth Proportional to 2,234.23, 3,351.82 and 674.35

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Solution

The fourth proportional to 2,234.23, 3,351.82 and 674.35 is: 1,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.23 : 3,351.82 = 674.35 : x
  2. Step 2: Convert to fraction form
    2,234.23/3,351.82 = 674.35/x
  3. Step 3: Cross multiply
    2,234.23x = 3,351.82 × 674.35
  4. Step 4: Simplify right side
    2,234.23x = 2,260,299.82
  5. Step 5: Solve for x
    x = 2,260,299.82/2,234.23
  6. Step 6: Final answer
    x = 1,011.67

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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.