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Finding the Fourth Proportional to 2,463, 3,694.50 and 731.64

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Solution

The fourth proportional to 2,463, 3,694.50 and 731.64 is: 1,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463 : 3,694.50 = 731.64 : x
  2. Step 2: Convert to fraction form
    2,463/3,694.50 = 731.64/x
  3. Step 3: Cross multiply
    2,463x = 3,694.50 × 731.64
  4. Step 4: Simplify right side
    2,463x = 2,703,043.98
  5. Step 5: Solve for x
    x = 2,703,043.98/2,463
  6. Step 6: Final answer
    x = 1,097.46

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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.