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Finding the Fourth Proportional to 3,193.82, 4,407.36 and 1,777.46

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Solution

The fourth proportional to 3,193.82, 4,407.36 and 1,777.46 is: 2,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.82 : 4,407.36 = 1,777.46 : x
  2. Step 2: Convert to fraction form
    3,193.82/4,407.36 = 1,777.46/x
  3. Step 3: Cross multiply
    3,193.82x = 4,407.36 × 1,777.46
  4. Step 4: Simplify right side
    3,193.82x = 7,833,906.11
  5. Step 5: Solve for x
    x = 7,833,906.11/3,193.82
  6. Step 6: Final answer
    x = 2,452.83

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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.