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Finding the Fourth Proportional to 1,991.19, 2,986.80 and 604.54

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Solution

The fourth proportional to 1,991.19, 2,986.80 and 604.54 is: 906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.19 : 2,986.80 = 604.54 : x
  2. Step 2: Convert to fraction form
    1,991.19/2,986.80 = 604.54/x
  3. Step 3: Cross multiply
    1,991.19x = 2,986.80 × 604.54
  4. Step 4: Simplify right side
    1,991.19x = 1,805,637.05
  5. Step 5: Solve for x
    x = 1,805,637.05/1,991.19
  6. Step 6: Final answer
    x = 906.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.