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Finding the Fourth Proportional to 3,261.96, 4,500.48 and 2,001

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Solution

The fourth proportional to 3,261.96, 4,500.48 and 2,001 is: 2,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.96 : 4,500.48 = 2,001 : x
  2. Step 2: Convert to fraction form
    3,261.96/4,500.48 = 2,001/x
  3. Step 3: Cross multiply
    3,261.96x = 4,500.48 × 2,001
  4. Step 4: Simplify right side
    3,261.96x = 9,005,460.48
  5. Step 5: Solve for x
    x = 9,005,460.48/3,261.96
  6. Step 6: Final answer
    x = 2,760.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.