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Finding the Fourth Proportional to 2,991.99, 4,129.47 and 1,947.09

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Solution

The fourth proportional to 2,991.99, 4,129.47 and 1,947.09 is: 2,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.99 : 4,129.47 = 1,947.09 : x
  2. Step 2: Convert to fraction form
    2,991.99/4,129.47 = 1,947.09/x
  3. Step 3: Cross multiply
    2,991.99x = 4,129.47 × 1,947.09
  4. Step 4: Simplify right side
    2,991.99x = 8,040,449.74
  5. Step 5: Solve for x
    x = 8,040,449.74/2,991.99
  6. Step 6: Final answer
    x = 2,687.33

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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.