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Finding the Fourth Proportional to 2,286.50, 3,429.08 and 726.44

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Solution

The fourth proportional to 2,286.50, 3,429.08 and 726.44 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.50 : 3,429.08 = 726.44 : x
  2. Step 2: Convert to fraction form
    2,286.50/3,429.08 = 726.44/x
  3. Step 3: Cross multiply
    2,286.50x = 3,429.08 × 726.44
  4. Step 4: Simplify right side
    2,286.50x = 2,491,017.24
  5. Step 5: Solve for x
    x = 2,491,017.24/2,286.50
  6. Step 6: Final answer
    x = 1,089.45

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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.