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Finding the Fourth Proportional to 1,735.25, 2,601.83 and 797.03

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Solution

The fourth proportional to 1,735.25, 2,601.83 and 797.03 is: 1,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.25 : 2,601.83 = 797.03 : x
  2. Step 2: Convert to fraction form
    1,735.25/2,601.83 = 797.03/x
  3. Step 3: Cross multiply
    1,735.25x = 2,601.83 × 797.03
  4. Step 4: Simplify right side
    1,735.25x = 2,073,723.56
  5. Step 5: Solve for x
    x = 2,073,723.56/1,735.25
  6. Step 6: Final answer
    x = 1,195.06

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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.