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Finding the Fourth Proportional to 3,049.64, 4,571.38 and 1,200.03

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Solution

The fourth proportional to 3,049.64, 4,571.38 and 1,200.03 is: 1,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.64 : 4,571.38 = 1,200.03 : x
  2. Step 2: Convert to fraction form
    3,049.64/4,571.38 = 1,200.03/x
  3. Step 3: Cross multiply
    3,049.64x = 4,571.38 × 1,200.03
  4. Step 4: Simplify right side
    3,049.64x = 5,485,799.84
  5. Step 5: Solve for x
    x = 5,485,799.84/3,049.64
  6. Step 6: Final answer
    x = 1,798.83

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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.