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Finding the Fourth Proportional to 2,696.83, 4,046.22 and 942.09

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Solution

The fourth proportional to 2,696.83, 4,046.22 and 942.09 is: 1,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.83 : 4,046.22 = 942.09 : x
  2. Step 2: Convert to fraction form
    2,696.83/4,046.22 = 942.09/x
  3. Step 3: Cross multiply
    2,696.83x = 4,046.22 × 942.09
  4. Step 4: Simplify right side
    2,696.83x = 3,811,903.40
  5. Step 5: Solve for x
    x = 3,811,903.40/2,696.83
  6. Step 6: Final answer
    x = 1,413.48

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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.