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Finding the Fourth Proportional to 2,182.52, 3,274.44 and 796.52

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Solution

The fourth proportional to 2,182.52, 3,274.44 and 796.52 is: 1,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.52 : 3,274.44 = 796.52 : x
  2. Step 2: Convert to fraction form
    2,182.52/3,274.44 = 796.52/x
  3. Step 3: Cross multiply
    2,182.52x = 3,274.44 × 796.52
  4. Step 4: Simplify right side
    2,182.52x = 2,608,156.95
  5. Step 5: Solve for x
    x = 2,608,156.95/2,182.52
  6. Step 6: Final answer
    x = 1,195.02

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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.