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Finding the Fourth Proportional to 2,286.57, 3,429.17 and 726.51

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Solution

The fourth proportional to 2,286.57, 3,429.17 and 726.51 is: 1,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.57 : 3,429.17 = 726.51 : x
  2. Step 2: Convert to fraction form
    2,286.57/3,429.17 = 726.51/x
  3. Step 3: Cross multiply
    2,286.57x = 3,429.17 × 726.51
  4. Step 4: Simplify right side
    2,286.57x = 2,491,322.66
  5. Step 5: Solve for x
    x = 2,491,322.66/2,286.57
  6. Step 6: Final answer
    x = 1,089.55

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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.