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Finding the Fourth Proportional to 2,320.20, 3,481.11 and 859.50

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Solution

The fourth proportional to 2,320.20, 3,481.11 and 859.50 is: 1,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.20 : 3,481.11 = 859.50 : x
  2. Step 2: Convert to fraction form
    2,320.20/3,481.11 = 859.50/x
  3. Step 3: Cross multiply
    2,320.20x = 3,481.11 × 859.50
  4. Step 4: Simplify right side
    2,320.20x = 2,992,014.05
  5. Step 5: Solve for x
    x = 2,992,014.05/2,320.20
  6. Step 6: Final answer
    x = 1,289.55

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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.