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Finding the Fourth Proportional to 3,177.86, 4,769.53 and 2,204.64

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Solution

The fourth proportional to 3,177.86, 4,769.53 and 2,204.64 is: 3,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.86 : 4,769.53 = 2,204.64 : x
  2. Step 2: Convert to fraction form
    3,177.86/4,769.53 = 2,204.64/x
  3. Step 3: Cross multiply
    3,177.86x = 4,769.53 × 2,204.64
  4. Step 4: Simplify right side
    3,177.86x = 10,515,091.11
  5. Step 5: Solve for x
    x = 10,515,091.11/3,177.86
  6. Step 6: Final answer
    x = 3,308.86

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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.