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Finding the Fourth Proportional to 3,104.07, 4,654.89 and 1,155.21

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Solution

The fourth proportional to 3,104.07, 4,654.89 and 1,155.21 is: 1,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.07 : 4,654.89 = 1,155.21 : x
  2. Step 2: Convert to fraction form
    3,104.07/4,654.89 = 1,155.21/x
  3. Step 3: Cross multiply
    3,104.07x = 4,654.89 × 1,155.21
  4. Step 4: Simplify right side
    3,104.07x = 5,377,375.48
  5. Step 5: Solve for x
    x = 5,377,375.48/3,104.07
  6. Step 6: Final answer
    x = 1,732.36

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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.