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Finding the Fourth Proportional to 2,463.43, 3,694.05 and 903.03

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Solution

The fourth proportional to 2,463.43, 3,694.05 and 903.03 is: 1,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.43 : 3,694.05 = 903.03 : x
  2. Step 2: Convert to fraction form
    2,463.43/3,694.05 = 903.03/x
  3. Step 3: Cross multiply
    2,463.43x = 3,694.05 × 903.03
  4. Step 4: Simplify right side
    2,463.43x = 3,335,837.97
  5. Step 5: Solve for x
    x = 3,335,837.97/2,463.43
  6. Step 6: Final answer
    x = 1,354.14

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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.