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Finding the Fourth Proportional to 3,183.85, 4,774.63 and 1,103.29

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Solution

The fourth proportional to 3,183.85, 4,774.63 and 1,103.29 is: 1,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.85 : 4,774.63 = 1,103.29 : x
  2. Step 2: Convert to fraction form
    3,183.85/4,774.63 = 1,103.29/x
  3. Step 3: Cross multiply
    3,183.85x = 4,774.63 × 1,103.29
  4. Step 4: Simplify right side
    3,183.85x = 5,267,801.53
  5. Step 5: Solve for x
    x = 5,267,801.53/3,183.85
  6. Step 6: Final answer
    x = 1,654.54

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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.