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Finding the Fourth Proportional to 2,321.33, 3,481.02 and 859.68

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Solution

The fourth proportional to 2,321.33, 3,481.02 and 859.68 is: 1,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.33 : 3,481.02 = 859.68 : x
  2. Step 2: Convert to fraction form
    2,321.33/3,481.02 = 859.68/x
  3. Step 3: Cross multiply
    2,321.33x = 3,481.02 × 859.68
  4. Step 4: Simplify right side
    2,321.33x = 2,992,563.27
  5. Step 5: Solve for x
    x = 2,992,563.27/2,321.33
  6. Step 6: Final answer
    x = 1,289.16

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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.