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Finding the Fourth Proportional to 2,095.35, 3,143.01 and 796.82

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Solution

The fourth proportional to 2,095.35, 3,143.01 and 796.82 is: 1,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.35 : 3,143.01 = 796.82 : x
  2. Step 2: Convert to fraction form
    2,095.35/3,143.01 = 796.82/x
  3. Step 3: Cross multiply
    2,095.35x = 3,143.01 × 796.82
  4. Step 4: Simplify right side
    2,095.35x = 2,504,413.23
  5. Step 5: Solve for x
    x = 2,504,413.23/2,095.35
  6. Step 6: Final answer
    x = 1,195.22

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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.