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Finding the Fourth Proportional to 3,231, 4,843.92 and 1,282.68

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Solution

The fourth proportional to 3,231, 4,843.92 and 1,282.68 is: 1,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 4,843.92 = 1,282.68 : x
  2. Step 2: Convert to fraction form
    3,231/4,843.92 = 1,282.68/x
  3. Step 3: Cross multiply
    3,231x = 4,843.92 × 1,282.68
  4. Step 4: Simplify right side
    3,231x = 6,213,199.31
  5. Step 5: Solve for x
    x = 6,213,199.31/3,231
  6. Step 6: Final answer
    x = 1,923.00

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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.