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Finding the Fourth Proportional to 1,991.83, 2,749.49 and 1,328.44

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Solution

The fourth proportional to 1,991.83, 2,749.49 and 1,328.44 is: 1,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.83 : 2,749.49 = 1,328.44 : x
  2. Step 2: Convert to fraction form
    1,991.83/2,749.49 = 1,328.44/x
  3. Step 3: Cross multiply
    1,991.83x = 2,749.49 × 1,328.44
  4. Step 4: Simplify right side
    1,991.83x = 3,652,532.50
  5. Step 5: Solve for x
    x = 3,652,532.50/1,991.83
  6. Step 6: Final answer
    x = 1,833.76

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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.