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Finding the Fourth Proportional to 2,463.03, 3,694.59 and 731.66

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Solution

The fourth proportional to 2,463.03, 3,694.59 and 731.66 is: 1,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.03 : 3,694.59 = 731.66 : x
  2. Step 2: Convert to fraction form
    2,463.03/3,694.59 = 731.66/x
  3. Step 3: Cross multiply
    2,463.03x = 3,694.59 × 731.66
  4. Step 4: Simplify right side
    2,463.03x = 2,703,165.25
  5. Step 5: Solve for x
    x = 2,703,165.25/2,463.03
  6. Step 6: Final answer
    x = 1,097.50

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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.