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Finding the Fourth Proportional to 2,331.43, 3,496.44 and 687.58

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Solution

The fourth proportional to 2,331.43, 3,496.44 and 687.58 is: 1,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.43 : 3,496.44 = 687.58 : x
  2. Step 2: Convert to fraction form
    2,331.43/3,496.44 = 687.58/x
  3. Step 3: Cross multiply
    2,331.43x = 3,496.44 × 687.58
  4. Step 4: Simplify right side
    2,331.43x = 2,404,076.05
  5. Step 5: Solve for x
    x = 2,404,076.05/2,331.43
  6. Step 6: Final answer
    x = 1,031.16

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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.