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Finding the Fourth Proportional to 2,890.44, 4,336.02 and 942.21

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Solution

The fourth proportional to 2,890.44, 4,336.02 and 942.21 is: 1,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.44 : 4,336.02 = 942.21 : x
  2. Step 2: Convert to fraction form
    2,890.44/4,336.02 = 942.21/x
  3. Step 3: Cross multiply
    2,890.44x = 4,336.02 × 942.21
  4. Step 4: Simplify right side
    2,890.44x = 4,085,441.40
  5. Step 5: Solve for x
    x = 4,085,441.40/2,890.44
  6. Step 6: Final answer
    x = 1,413.43

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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.