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Finding the Fourth Proportional to 2,942.73, 4,413.24 and 994.50

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Solution

The fourth proportional to 2,942.73, 4,413.24 and 994.50 is: 1,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.73 : 4,413.24 = 994.50 : x
  2. Step 2: Convert to fraction form
    2,942.73/4,413.24 = 994.50/x
  3. Step 3: Cross multiply
    2,942.73x = 4,413.24 × 994.50
  4. Step 4: Simplify right side
    2,942.73x = 4,388,967.18
  5. Step 5: Solve for x
    x = 4,388,967.18/2,942.73
  6. Step 6: Final answer
    x = 1,491.46

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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.