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Finding the Fourth Proportional to 1,991.56, 3,009.91 and 1,969.68

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Solution

The fourth proportional to 1,991.56, 3,009.91 and 1,969.68 is: 2,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.56 : 3,009.91 = 1,969.68 : x
  2. Step 2: Convert to fraction form
    1,991.56/3,009.91 = 1,969.68/x
  3. Step 3: Cross multiply
    1,991.56x = 3,009.91 × 1,969.68
  4. Step 4: Simplify right side
    1,991.56x = 5,928,559.53
  5. Step 5: Solve for x
    x = 5,928,559.53/1,991.56
  6. Step 6: Final answer
    x = 2,976.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.