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Finding the Fourth Proportional to 3,193.55, 4,407.09 and 1,796.30

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Solution

The fourth proportional to 3,193.55, 4,407.09 and 1,796.30 is: 2,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.55 : 4,407.09 = 1,796.30 : x
  2. Step 2: Convert to fraction form
    3,193.55/4,407.09 = 1,796.30/x
  3. Step 3: Cross multiply
    3,193.55x = 4,407.09 × 1,796.30
  4. Step 4: Simplify right side
    3,193.55x = 7,916,456.99
  5. Step 5: Solve for x
    x = 7,916,456.99/3,193.55
  6. Step 6: Final answer
    x = 2,478.89

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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.