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Finding the Fourth Proportional to 3,261.24, 4,891.80 and 796.02

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Solution

The fourth proportional to 3,261.24, 4,891.80 and 796.02 is: 1,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.24 : 4,891.80 = 796.02 : x
  2. Step 2: Convert to fraction form
    3,261.24/4,891.80 = 796.02/x
  3. Step 3: Cross multiply
    3,261.24x = 4,891.80 × 796.02
  4. Step 4: Simplify right side
    3,261.24x = 3,893,970.64
  5. Step 5: Solve for x
    x = 3,893,970.64/3,261.24
  6. Step 6: Final answer
    x = 1,194.02

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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.