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Finding the Fourth Proportional to 1,991.64, 2,748.18 and 1,107.18

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Solution

The fourth proportional to 1,991.64, 2,748.18 and 1,107.18 is: 1,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.64 : 2,748.18 = 1,107.18 : x
  2. Step 2: Convert to fraction form
    1,991.64/2,748.18 = 1,107.18/x
  3. Step 3: Cross multiply
    1,991.64x = 2,748.18 × 1,107.18
  4. Step 4: Simplify right side
    1,991.64x = 3,042,729.93
  5. Step 5: Solve for x
    x = 3,042,729.93/1,991.64
  6. Step 6: Final answer
    x = 1,527.75

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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.