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Finding the Fourth Proportional to 3,289.24, 4,933.62 and 1,340.92

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Solution

The fourth proportional to 3,289.24, 4,933.62 and 1,340.92 is: 2,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.24 : 4,933.62 = 1,340.92 : x
  2. Step 2: Convert to fraction form
    3,289.24/4,933.62 = 1,340.92/x
  3. Step 3: Cross multiply
    3,289.24x = 4,933.62 × 1,340.92
  4. Step 4: Simplify right side
    3,289.24x = 6,615,589.73
  5. Step 5: Solve for x
    x = 6,615,589.73/3,289.24
  6. Step 6: Final answer
    x = 2,011.28

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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.