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Finding the Fourth Proportional to 1,628.53, 2,443.56 and 796.61

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Solution

The fourth proportional to 1,628.53, 2,443.56 and 796.61 is: 1,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.53 : 2,443.56 = 796.61 : x
  2. Step 2: Convert to fraction form
    1,628.53/2,443.56 = 796.61/x
  3. Step 3: Cross multiply
    1,628.53x = 2,443.56 × 796.61
  4. Step 4: Simplify right side
    1,628.53x = 1,946,570.44
  5. Step 5: Solve for x
    x = 1,946,570.44/1,628.53
  6. Step 6: Final answer
    x = 1,195.29

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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.