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Finding the Fourth Proportional to 3,193.70, 4,406.44 and 1,867.73

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Solution

The fourth proportional to 3,193.70, 4,406.44 and 1,867.73 is: 2,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.70 : 4,406.44 = 1,867.73 : x
  2. Step 2: Convert to fraction form
    3,193.70/4,406.44 = 1,867.73/x
  3. Step 3: Cross multiply
    3,193.70x = 4,406.44 × 1,867.73
  4. Step 4: Simplify right side
    3,193.70x = 8,230,040.18
  5. Step 5: Solve for x
    x = 8,230,040.18/3,193.70
  6. Step 6: Final answer
    x = 2,576.96

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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.