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Finding the Fourth Proportional to 3,277.44, 4,917.12 and 969.12

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Solution

The fourth proportional to 3,277.44, 4,917.12 and 969.12 is: 1,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.44 : 4,917.12 = 969.12 : x
  2. Step 2: Convert to fraction form
    3,277.44/4,917.12 = 969.12/x
  3. Step 3: Cross multiply
    3,277.44x = 4,917.12 × 969.12
  4. Step 4: Simplify right side
    3,277.44x = 4,765,279.33
  5. Step 5: Solve for x
    x = 4,765,279.33/3,277.44
  6. Step 6: Final answer
    x = 1,453.96

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Why These Related Problems?

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