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Finding the Fourth Proportional to 2,864.41, 3,923.26 and 2,696.29

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Solution

The fourth proportional to 2,864.41, 3,923.26 and 2,696.29 is: 3,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.41 : 3,923.26 = 2,696.29 : x
  2. Step 2: Convert to fraction form
    2,864.41/3,923.26 = 2,696.29/x
  3. Step 3: Cross multiply
    2,864.41x = 3,923.26 × 2,696.29
  4. Step 4: Simplify right side
    2,864.41x = 10,578,230.16
  5. Step 5: Solve for x
    x = 10,578,230.16/2,864.41
  6. Step 6: Final answer
    x = 3,692.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.