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Finding the Fourth Proportional to 2,267.62, 3,401.44 and 624.25

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Solution

The fourth proportional to 2,267.62, 3,401.44 and 624.25 is: 936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.62 : 3,401.44 = 624.25 : x
  2. Step 2: Convert to fraction form
    2,267.62/3,401.44 = 624.25/x
  3. Step 3: Cross multiply
    2,267.62x = 3,401.44 × 624.25
  4. Step 4: Simplify right side
    2,267.62x = 2,123,359.91
  5. Step 5: Solve for x
    x = 2,123,359.91/2,267.62
  6. Step 6: Final answer
    x = 936.38

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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.