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Finding the Fourth Proportional to 2,011.74, 3,016.69 and 624.66

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Solution

The fourth proportional to 2,011.74, 3,016.69 and 624.66 is: 936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.74 : 3,016.69 = 624.66 : x
  2. Step 2: Convert to fraction form
    2,011.74/3,016.69 = 624.66/x
  3. Step 3: Cross multiply
    2,011.74x = 3,016.69 × 624.66
  4. Step 4: Simplify right side
    2,011.74x = 1,884,413.18
  5. Step 5: Solve for x
    x = 1,884,413.18/2,011.74
  6. Step 6: Final answer
    x = 936.71

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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.