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Finding the Fourth Proportional to 2,942.10, 4,413.80 and 994.25

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Solution

The fourth proportional to 2,942.10, 4,413.80 and 994.25 is: 1,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.10 : 4,413.80 = 994.25 : x
  2. Step 2: Convert to fraction form
    2,942.10/4,413.80 = 994.25/x
  3. Step 3: Cross multiply
    2,942.10x = 4,413.80 × 994.25
  4. Step 4: Simplify right side
    2,942.10x = 4,388,409.62
  5. Step 5: Solve for x
    x = 4,388,409.62/2,942.10
  6. Step 6: Final answer
    x = 1,491.59

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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.