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Finding the Fourth Proportional to 2,467.97, 3,690.72 and 1,843.70

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Solution

The fourth proportional to 2,467.97, 3,690.72 and 1,843.70 is: 2,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.97 : 3,690.72 = 1,843.70 : x
  2. Step 2: Convert to fraction form
    2,467.97/3,690.72 = 1,843.70/x
  3. Step 3: Cross multiply
    2,467.97x = 3,690.72 × 1,843.70
  4. Step 4: Simplify right side
    2,467.97x = 6,804,562.01
  5. Step 5: Solve for x
    x = 6,804,562.01/2,467.97
  6. Step 6: Final answer
    x = 2,757.15

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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.