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Finding the Fourth Proportional to 3,193.26, 4,407.06 and 1,796.46

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Solution

The fourth proportional to 3,193.26, 4,407.06 and 1,796.46 is: 2,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.26 : 4,407.06 = 1,796.46 : x
  2. Step 2: Convert to fraction form
    3,193.26/4,407.06 = 1,796.46/x
  3. Step 3: Cross multiply
    3,193.26x = 4,407.06 × 1,796.46
  4. Step 4: Simplify right side
    3,193.26x = 7,917,107.01
  5. Step 5: Solve for x
    x = 7,917,107.01/3,193.26
  6. Step 6: Final answer
    x = 2,479.32

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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.