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Finding the Fourth Proportional to 3,183.52, 4,770.96 and 1,645.60

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Solution

The fourth proportional to 3,183.52, 4,770.96 and 1,645.60 is: 2,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.52 : 4,770.96 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    3,183.52/4,770.96 = 1,645.60/x
  3. Step 3: Cross multiply
    3,183.52x = 4,770.96 × 1,645.60
  4. Step 4: Simplify right side
    3,183.52x = 7,851,091.78
  5. Step 5: Solve for x
    x = 7,851,091.78/3,183.52
  6. Step 6: Final answer
    x = 2,466.17

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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.