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Finding the Fourth Proportional to 2,111.92, 3,168.64 and 941.82

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Solution

The fourth proportional to 2,111.92, 3,168.64 and 941.82 is: 1,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.92 : 3,168.64 = 941.82 : x
  2. Step 2: Convert to fraction form
    2,111.92/3,168.64 = 941.82/x
  3. Step 3: Cross multiply
    2,111.92x = 3,168.64 × 941.82
  4. Step 4: Simplify right side
    2,111.92x = 2,984,286.17
  5. Step 5: Solve for x
    x = 2,984,286.17/2,111.92
  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.