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Finding the Fourth Proportional to 3,260.96, 4,499.10 and 2,000

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Solution

The fourth proportional to 3,260.96, 4,499.10 and 2,000 is: 2,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.96 : 4,499.10 = 2,000 : x
  2. Step 2: Convert to fraction form
    3,260.96/4,499.10 = 2,000/x
  3. Step 3: Cross multiply
    3,260.96x = 4,499.10 × 2,000
  4. Step 4: Simplify right side
    3,260.96x = 8,998,200
  5. Step 5: Solve for x
    x = 8,998,200/3,260.96
  6. Step 6: Final answer
    x = 2,759.37

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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.