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Finding the Fourth Proportional to 2,234.82, 3,352.25 and 674.83

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Solution

The fourth proportional to 2,234.82, 3,352.25 and 674.83 is: 1,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.82 : 3,352.25 = 674.83 : x
  2. Step 2: Convert to fraction form
    2,234.82/3,352.25 = 674.83/x
  3. Step 3: Cross multiply
    2,234.82x = 3,352.25 × 674.83
  4. Step 4: Simplify right side
    2,234.82x = 2,262,204.74
  5. Step 5: Solve for x
    x = 2,262,204.74/2,234.82
  6. Step 6: Final answer
    x = 1,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.