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Finding the Fourth Proportional to 3,394.27, 4,683.84 and 1,977.73

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Solution

The fourth proportional to 3,394.27, 4,683.84 and 1,977.73 is: 2,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.27 : 4,683.84 = 1,977.73 : x
  2. Step 2: Convert to fraction form
    3,394.27/4,683.84 = 1,977.73/x
  3. Step 3: Cross multiply
    3,394.27x = 4,683.84 × 1,977.73
  4. Step 4: Simplify right side
    3,394.27x = 9,263,370.88
  5. Step 5: Solve for x
    x = 9,263,370.88/3,394.27
  6. Step 6: Final answer
    x = 2,729.12

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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.