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Finding the Fourth Proportional to 1,991.48, 2,749.46 and 1,283.57

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Solution

The fourth proportional to 1,991.48, 2,749.46 and 1,283.57 is: 1,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.48 : 2,749.46 = 1,283.57 : x
  2. Step 2: Convert to fraction form
    1,991.48/2,749.46 = 1,283.57/x
  3. Step 3: Cross multiply
    1,991.48x = 2,749.46 × 1,283.57
  4. Step 4: Simplify right side
    1,991.48x = 3,529,104.21
  5. Step 5: Solve for x
    x = 3,529,104.21/1,991.48
  6. Step 6: Final answer
    x = 1,772.11

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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.