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Finding the Fourth Proportional to 3,205.80, 4,794.30 and 2,687.40

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Solution

The fourth proportional to 3,205.80, 4,794.30 and 2,687.40 is: 4,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.80 : 4,794.30 = 2,687.40 : x
  2. Step 2: Convert to fraction form
    3,205.80/4,794.30 = 2,687.40/x
  3. Step 3: Cross multiply
    3,205.80x = 4,794.30 × 2,687.40
  4. Step 4: Simplify right side
    3,205.80x = 12,884,201.82
  5. Step 5: Solve for x
    x = 12,884,201.82/3,205.80
  6. Step 6: Final answer
    x = 4,019.03

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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.