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Finding the Fourth Proportional to 2,186.46, 3,279.63 and 726.66

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Solution

The fourth proportional to 2,186.46, 3,279.63 and 726.66 is: 1,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.46 : 3,279.63 = 726.66 : x
  2. Step 2: Convert to fraction form
    2,186.46/3,279.63 = 726.66/x
  3. Step 3: Cross multiply
    2,186.46x = 3,279.63 × 726.66
  4. Step 4: Simplify right side
    2,186.46x = 2,383,175.94
  5. Step 5: Solve for x
    x = 2,383,175.94/2,186.46
  6. Step 6: Final answer
    x = 1,089.97

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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.