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Finding the Fourth Proportional to 1,911.99, 2,640.23 and 1,205.09

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Solution

The fourth proportional to 1,911.99, 2,640.23 and 1,205.09 is: 1,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.99 : 2,640.23 = 1,205.09 : x
  2. Step 2: Convert to fraction form
    1,911.99/2,640.23 = 1,205.09/x
  3. Step 3: Cross multiply
    1,911.99x = 2,640.23 × 1,205.09
  4. Step 4: Simplify right side
    1,911.99x = 3,181,724.82
  5. Step 5: Solve for x
    x = 3,181,724.82/1,911.99
  6. Step 6: Final answer
    x = 1,664.09

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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.