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Finding the Fourth Proportional to 3,103.27, 4,654.21 and 911.41

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Solution

The fourth proportional to 3,103.27, 4,654.21 and 911.41 is: 1,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.27 : 4,654.21 = 911.41 : x
  2. Step 2: Convert to fraction form
    3,103.27/4,654.21 = 911.41/x
  3. Step 3: Cross multiply
    3,103.27x = 4,654.21 × 911.41
  4. Step 4: Simplify right side
    3,103.27x = 4,241,893.54
  5. Step 5: Solve for x
    x = 4,241,893.54/3,103.27
  6. Step 6: Final answer
    x = 1,366.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.