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Finding the Fourth Proportional to 2,791.41, 4,186.73 and 942.29

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Solution

The fourth proportional to 2,791.41, 4,186.73 and 942.29 is: 1,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.41 : 4,186.73 = 942.29 : x
  2. Step 2: Convert to fraction form
    2,791.41/4,186.73 = 942.29/x
  3. Step 3: Cross multiply
    2,791.41x = 4,186.73 × 942.29
  4. Step 4: Simplify right side
    2,791.41x = 3,945,088.17
  5. Step 5: Solve for x
    x = 3,945,088.17/2,791.41
  6. Step 6: Final answer
    x = 1,413.30

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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.