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Finding the Fourth Proportional to 2,584.98, 3,879.36 and 941.67

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Solution

The fourth proportional to 2,584.98, 3,879.36 and 941.67 is: 1,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.98 : 3,879.36 = 941.67 : x
  2. Step 2: Convert to fraction form
    2,584.98/3,879.36 = 941.67/x
  3. Step 3: Cross multiply
    2,584.98x = 3,879.36 × 941.67
  4. Step 4: Simplify right side
    2,584.98x = 3,653,076.93
  5. Step 5: Solve for x
    x = 3,653,076.93/2,584.98
  6. Step 6: Final answer
    x = 1,413.19

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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.