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Finding the Fourth Proportional to 3,282.64, 4,923.96 and 1,202.92

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Solution

The fourth proportional to 3,282.64, 4,923.96 and 1,202.92 is: 1,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.64 : 4,923.96 = 1,202.92 : x
  2. Step 2: Convert to fraction form
    3,282.64/4,923.96 = 1,202.92/x
  3. Step 3: Cross multiply
    3,282.64x = 4,923.96 × 1,202.92
  4. Step 4: Simplify right side
    3,282.64x = 5,923,129.96
  5. Step 5: Solve for x
    x = 5,923,129.96/3,282.64
  6. Step 6: Final answer
    x = 1,804.38

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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.