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Finding the Fourth Proportional to 2,286.66, 3,429.93 and 1,546.61

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Solution

The fourth proportional to 2,286.66, 3,429.93 and 1,546.61 is: 2,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.66 : 3,429.93 = 1,546.61 : x
  2. Step 2: Convert to fraction form
    2,286.66/3,429.93 = 1,546.61/x
  3. Step 3: Cross multiply
    2,286.66x = 3,429.93 × 1,546.61
  4. Step 4: Simplify right side
    2,286.66x = 5,304,764.04
  5. Step 5: Solve for x
    x = 5,304,764.04/2,286.66
  6. Step 6: Final answer
    x = 2,319.87

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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.