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Finding the Fourth Proportional to 3,194.22, 4,407.96 and 1,796.96

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Solution

The fourth proportional to 3,194.22, 4,407.96 and 1,796.96 is: 2,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.22 : 4,407.96 = 1,796.96 : x
  2. Step 2: Convert to fraction form
    3,194.22/4,407.96 = 1,796.96/x
  3. Step 3: Cross multiply
    3,194.22x = 4,407.96 × 1,796.96
  4. Step 4: Simplify right side
    3,194.22x = 7,920,927.80
  5. Step 5: Solve for x
    x = 7,920,927.80/3,194.22
  6. Step 6: Final answer
    x = 2,479.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.