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Finding the Fourth Proportional to 2,942.38, 4,413.98 and 994.06

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Solution

The fourth proportional to 2,942.38, 4,413.98 and 994.06 is: 1,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.38 : 4,413.98 = 994.06 : x
  2. Step 2: Convert to fraction form
    2,942.38/4,413.98 = 994.06/x
  3. Step 3: Cross multiply
    2,942.38x = 4,413.98 × 994.06
  4. Step 4: Simplify right side
    2,942.38x = 4,387,760.96
  5. Step 5: Solve for x
    x = 4,387,760.96/2,942.38
  6. Step 6: Final answer
    x = 1,491.23

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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.