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Finding the Fourth Proportional to 3,193.58, 4,407.13 and 1,796.33

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Solution

The fourth proportional to 3,193.58, 4,407.13 and 1,796.33 is: 2,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.58 : 4,407.13 = 1,796.33 : x
  2. Step 2: Convert to fraction form
    3,193.58/4,407.13 = 1,796.33/x
  3. Step 3: Cross multiply
    3,193.58x = 4,407.13 × 1,796.33
  4. Step 4: Simplify right side
    3,193.58x = 7,916,659.83
  5. Step 5: Solve for x
    x = 7,916,659.83/3,193.58
  6. Step 6: Final answer
    x = 2,478.93

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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.