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Finding the Fourth Proportional to 2,871, 3,963.84 and 2,240.43

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Solution

The fourth proportional to 2,871, 3,963.84 and 2,240.43 is: 3,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871 : 3,963.84 = 2,240.43 : x
  2. Step 2: Convert to fraction form
    2,871/3,963.84 = 2,240.43/x
  3. Step 3: Cross multiply
    2,871x = 3,963.84 × 2,240.43
  4. Step 4: Simplify right side
    2,871x = 8,880,706.05
  5. Step 5: Solve for x
    x = 8,880,706.05/2,871
  6. Step 6: Final answer
    x = 3,093.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.