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Finding the Fourth Proportional to 1,729.77, 2,591 and 1,174.82

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Solution

The fourth proportional to 1,729.77, 2,591 and 1,174.82 is: 1,759.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.77 : 2,591 = 1,174.82 : x
  2. Step 2: Convert to fraction form
    1,729.77/2,591 = 1,174.82/x
  3. Step 3: Cross multiply
    1,729.77x = 2,591 × 1,174.82
  4. Step 4: Simplify right side
    1,729.77x = 3,043,958.62
  5. Step 5: Solve for x
    x = 3,043,958.62/1,729.77
  6. Step 6: Final answer
    x = 1,759.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.