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Finding the Fourth Proportional to 2,286.20, 3,429.30 and 726.17

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Solution

The fourth proportional to 2,286.20, 3,429.30 and 726.17 is: 1,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.20 : 3,429.30 = 726.17 : x
  2. Step 2: Convert to fraction form
    2,286.20/3,429.30 = 726.17/x
  3. Step 3: Cross multiply
    2,286.20x = 3,429.30 × 726.17
  4. Step 4: Simplify right side
    2,286.20x = 2,490,237.63
  5. Step 5: Solve for x
    x = 2,490,237.63/2,286.20
  6. Step 6: Final answer
    x = 1,089.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.