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Finding the Fourth Proportional to 2,286.06, 3,429 and 726.12

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Solution

The fourth proportional to 2,286.06, 3,429 and 726.12 is: 1,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.06 : 3,429 = 726.12 : x
  2. Step 2: Convert to fraction form
    2,286.06/3,429 = 726.12/x
  3. Step 3: Cross multiply
    2,286.06x = 3,429 × 726.12
  4. Step 4: Simplify right side
    2,286.06x = 2,489,865.48
  5. Step 5: Solve for x
    x = 2,489,865.48/2,286.06
  6. Step 6: Final answer
    x = 1,089.15

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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.