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Finding the Fourth Proportional to 3,287.67, 4,534.43 and 1,961.10

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Solution

The fourth proportional to 3,287.67, 4,534.43 and 1,961.10 is: 2,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.67 : 4,534.43 = 1,961.10 : x
  2. Step 2: Convert to fraction form
    3,287.67/4,534.43 = 1,961.10/x
  3. Step 3: Cross multiply
    3,287.67x = 4,534.43 × 1,961.10
  4. Step 4: Simplify right side
    3,287.67x = 8,892,460.87
  5. Step 5: Solve for x
    x = 8,892,460.87/3,287.67
  6. Step 6: Final answer
    x = 2,704.79

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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.