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Finding the Fourth Proportional to 1,991.84, 2,748.65 and 1,107.72

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Solution

The fourth proportional to 1,991.84, 2,748.65 and 1,107.72 is: 1,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.84 : 2,748.65 = 1,107.72 : x
  2. Step 2: Convert to fraction form
    1,991.84/2,748.65 = 1,107.72/x
  3. Step 3: Cross multiply
    1,991.84x = 2,748.65 × 1,107.72
  4. Step 4: Simplify right side
    1,991.84x = 3,044,729.04
  5. Step 5: Solve for x
    x = 3,044,729.04/1,991.84
  6. Step 6: Final answer
    x = 1,528.61

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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.