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Finding the Fourth Proportional to 3,133.49, 4,698.81 and 942.33

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Solution

The fourth proportional to 3,133.49, 4,698.81 and 942.33 is: 1,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.49 : 4,698.81 = 942.33 : x
  2. Step 2: Convert to fraction form
    3,133.49/4,698.81 = 942.33/x
  3. Step 3: Cross multiply
    3,133.49x = 4,698.81 × 942.33
  4. Step 4: Simplify right side
    3,133.49x = 4,427,847.25
  5. Step 5: Solve for x
    x = 4,427,847.25/3,133.49
  6. Step 6: Final answer
    x = 1,413.07

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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.