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Finding the Fourth Proportional to 2,367.99, 3,546.83 and 1,952.46

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Solution

The fourth proportional to 2,367.99, 3,546.83 and 1,952.46 is: 2,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.99 : 3,546.83 = 1,952.46 : x
  2. Step 2: Convert to fraction form
    2,367.99/3,546.83 = 1,952.46/x
  3. Step 3: Cross multiply
    2,367.99x = 3,546.83 × 1,952.46
  4. Step 4: Simplify right side
    2,367.99x = 6,925,033.94
  5. Step 5: Solve for x
    x = 6,925,033.94/2,367.99
  6. Step 6: Final answer
    x = 2,924.44

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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.