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Finding the Fourth Proportional to 2,154.33, 3,231.63 and 855.90

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Solution

The fourth proportional to 2,154.33, 3,231.63 and 855.90 is: 1,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.33 : 3,231.63 = 855.90 : x
  2. Step 2: Convert to fraction form
    2,154.33/3,231.63 = 855.90/x
  3. Step 3: Cross multiply
    2,154.33x = 3,231.63 × 855.90
  4. Step 4: Simplify right side
    2,154.33x = 2,765,952.12
  5. Step 5: Solve for x
    x = 2,765,952.12/2,154.33
  6. Step 6: Final answer
    x = 1,283.90

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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.