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Finding the Fourth Proportional to 1,991.39, 2,748.20 and 1,107.41

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Solution

The fourth proportional to 1,991.39, 2,748.20 and 1,107.41 is: 1,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.39 : 2,748.20 = 1,107.41 : x
  2. Step 2: Convert to fraction form
    1,991.39/2,748.20 = 1,107.41/x
  3. Step 3: Cross multiply
    1,991.39x = 2,748.20 × 1,107.41
  4. Step 4: Simplify right side
    1,991.39x = 3,043,364.88
  5. Step 5: Solve for x
    x = 3,043,364.88/1,991.39
  6. Step 6: Final answer
    x = 1,528.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.