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Finding the Fourth Proportional to 3,193.34, 4,406.74 and 1,796.09

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Solution

The fourth proportional to 3,193.34, 4,406.74 and 1,796.09 is: 2,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.34 : 4,406.74 = 1,796.09 : x
  2. Step 2: Convert to fraction form
    3,193.34/4,406.74 = 1,796.09/x
  3. Step 3: Cross multiply
    3,193.34x = 4,406.74 × 1,796.09
  4. Step 4: Simplify right side
    3,193.34x = 7,914,875.12
  5. Step 5: Solve for x
    x = 7,914,875.12/3,193.34
  6. Step 6: Final answer
    x = 2,478.56

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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.