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Finding the Fourth Proportional to 2,680.02, 4,021.99 and 2,659.66

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Solution

The fourth proportional to 2,680.02, 4,021.99 and 2,659.66 is: 3,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.02 : 4,021.99 = 2,659.66 : x
  2. Step 2: Convert to fraction form
    2,680.02/4,021.99 = 2,659.66/x
  3. Step 3: Cross multiply
    2,680.02x = 4,021.99 × 2,659.66
  4. Step 4: Simplify right side
    2,680.02x = 10,697,109.22
  5. Step 5: Solve for x
    x = 10,697,109.22/2,680.02
  6. Step 6: Final answer
    x = 3,991.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.