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Finding the Fourth Proportional to 2,549.26, 3,524.88 and 2,431

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Solution

The fourth proportional to 2,549.26, 3,524.88 and 2,431 is: 3,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.26 : 3,524.88 = 2,431 : x
  2. Step 2: Convert to fraction form
    2,549.26/3,524.88 = 2,431/x
  3. Step 3: Cross multiply
    2,549.26x = 3,524.88 × 2,431
  4. Step 4: Simplify right side
    2,549.26x = 8,568,983.28
  5. Step 5: Solve for x
    x = 8,568,983.28/2,549.26
  6. Step 6: Final answer
    x = 3,361.36

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Why These Related Problems?

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