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Finding the Fourth Proportional to 2,367.49, 3,546.07 and 1,951.96

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Solution

The fourth proportional to 2,367.49, 3,546.07 and 1,951.96 is: 2,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.49 : 3,546.07 = 1,951.96 : x
  2. Step 2: Convert to fraction form
    2,367.49/3,546.07 = 1,951.96/x
  3. Step 3: Cross multiply
    2,367.49x = 3,546.07 × 1,951.96
  4. Step 4: Simplify right side
    2,367.49x = 6,921,786.80
  5. Step 5: Solve for x
    x = 6,921,786.80/2,367.49
  6. Step 6: Final answer
    x = 2,923.68

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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.