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Finding the Fourth Proportional to 1,912.87, 2,640.98 and 1,205.69

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Solution

The fourth proportional to 1,912.87, 2,640.98 and 1,205.69 is: 1,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.87 : 2,640.98 = 1,205.69 : x
  2. Step 2: Convert to fraction form
    1,912.87/2,640.98 = 1,205.69/x
  3. Step 3: Cross multiply
    1,912.87x = 2,640.98 × 1,205.69
  4. Step 4: Simplify right side
    1,912.87x = 3,184,189.59
  5. Step 5: Solve for x
    x = 3,184,189.59/1,912.87
  6. Step 6: Final answer
    x = 1,664.62

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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.