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Finding the Fourth Proportional to 1,467.81, 2,198.25 and 1,274.40

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Solution

The fourth proportional to 1,467.81, 2,198.25 and 1,274.40 is: 1,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.81 : 2,198.25 = 1,274.40 : x
  2. Step 2: Convert to fraction form
    1,467.81/2,198.25 = 1,274.40/x
  3. Step 3: Cross multiply
    1,467.81x = 2,198.25 × 1,274.40
  4. Step 4: Simplify right side
    1,467.81x = 2,801,449.80
  5. Step 5: Solve for x
    x = 2,801,449.80/1,467.81
  6. Step 6: Final answer
    x = 1,908.59

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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.