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Finding the Fourth Proportional to 2,011, 3,016.38 and 624.34

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Solution

The fourth proportional to 2,011, 3,016.38 and 624.34 is: 936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011 : 3,016.38 = 624.34 : x
  2. Step 2: Convert to fraction form
    2,011/3,016.38 = 624.34/x
  3. Step 3: Cross multiply
    2,011x = 3,016.38 × 624.34
  4. Step 4: Simplify right side
    2,011x = 1,883,246.69
  5. Step 5: Solve for x
    x = 1,883,246.69/2,011
  6. Step 6: Final answer
    x = 936.47

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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.