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Finding the Fourth Proportional to 3,287.45, 4,536.27 and 1,942.90

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Solution

The fourth proportional to 3,287.45, 4,536.27 and 1,942.90 is: 2,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.45 : 4,536.27 = 1,942.90 : x
  2. Step 2: Convert to fraction form
    3,287.45/4,536.27 = 1,942.90/x
  3. Step 3: Cross multiply
    3,287.45x = 4,536.27 × 1,942.90
  4. Step 4: Simplify right side
    3,287.45x = 8,813,507.64
  5. Step 5: Solve for x
    x = 8,813,507.64/3,287.45
  6. Step 6: Final answer
    x = 2,680.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.