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Finding the Fourth Proportional to 2,890.26, 4,336.11 and 942.39

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Solution

The fourth proportional to 2,890.26, 4,336.11 and 942.39 is: 1,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.26 : 4,336.11 = 942.39 : x
  2. Step 2: Convert to fraction form
    2,890.26/4,336.11 = 942.39/x
  3. Step 3: Cross multiply
    2,890.26x = 4,336.11 × 942.39
  4. Step 4: Simplify right side
    2,890.26x = 4,086,306.70
  5. Step 5: Solve for x
    x = 4,086,306.70/2,890.26
  6. Step 6: Final answer
    x = 1,413.82

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