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Finding the Fourth Proportional to 3,231, 4,458.78 and 1,833.96

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Solution

The fourth proportional to 3,231, 4,458.78 and 1,833.96 is: 2,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231 : 4,458.78 = 1,833.96 : x
  2. Step 2: Convert to fraction form
    3,231/4,458.78 = 1,833.96/x
  3. Step 3: Cross multiply
    3,231x = 4,458.78 × 1,833.96
  4. Step 4: Simplify right side
    3,231x = 8,177,224.17
  5. Step 5: Solve for x
    x = 8,177,224.17/3,231
  6. Step 6: Final answer
    x = 2,530.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.