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Finding the Fourth Proportional to 2,696.82, 4,045.84 and 941.92

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Solution

The fourth proportional to 2,696.82, 4,045.84 and 941.92 is: 1,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.82 : 4,045.84 = 941.92 : x
  2. Step 2: Convert to fraction form
    2,696.82/4,045.84 = 941.92/x
  3. Step 3: Cross multiply
    2,696.82x = 4,045.84 × 941.92
  4. Step 4: Simplify right side
    2,696.82x = 3,810,857.61
  5. Step 5: Solve for x
    x = 3,810,857.61/2,696.82
  6. Step 6: Final answer
    x = 1,413.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.