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Finding the Fourth Proportional to 2,659.65, 3,991.37 and 1,200.03

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Solution

The fourth proportional to 2,659.65, 3,991.37 and 1,200.03 is: 1,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.65 : 3,991.37 = 1,200.03 : x
  2. Step 2: Convert to fraction form
    2,659.65/3,991.37 = 1,200.03/x
  3. Step 3: Cross multiply
    2,659.65x = 3,991.37 × 1,200.03
  4. Step 4: Simplify right side
    2,659.65x = 4,789,757.74
  5. Step 5: Solve for x
    x = 4,789,757.74/2,659.65
  6. Step 6: Final answer
    x = 1,800.90

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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.