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Finding the Fourth Proportional to 2,286, 3,429.50 and 726.48

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Solution

The fourth proportional to 2,286, 3,429.50 and 726.48 is: 1,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,429.50 = 726.48 : x
  2. Step 2: Convert to fraction form
    2,286/3,429.50 = 726.48/x
  3. Step 3: Cross multiply
    2,286x = 3,429.50 × 726.48
  4. Step 4: Simplify right side
    2,286x = 2,491,463.16
  5. Step 5: Solve for x
    x = 2,491,463.16/2,286
  6. Step 6: Final answer
    x = 1,089.88

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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.