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Finding the Fourth Proportional to 1,991.57, 2,748.17 and 1,152.11

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Solution

The fourth proportional to 1,991.57, 2,748.17 and 1,152.11 is: 1,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.57 : 2,748.17 = 1,152.11 : x
  2. Step 2: Convert to fraction form
    1,991.57/2,748.17 = 1,152.11/x
  3. Step 3: Cross multiply
    1,991.57x = 2,748.17 × 1,152.11
  4. Step 4: Simplify right side
    1,991.57x = 3,166,174.64
  5. Step 5: Solve for x
    x = 3,166,174.64/1,991.57
  6. Step 6: Final answer
    x = 1,589.79

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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.