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Finding the Fourth Proportional to 3,065.28, 4,229.87 and 1,739.20

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Solution

The fourth proportional to 3,065.28, 4,229.87 and 1,739.20 is: 2,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.28 : 4,229.87 = 1,739.20 : x
  2. Step 2: Convert to fraction form
    3,065.28/4,229.87 = 1,739.20/x
  3. Step 3: Cross multiply
    3,065.28x = 4,229.87 × 1,739.20
  4. Step 4: Simplify right side
    3,065.28x = 7,356,583.68
  5. Step 5: Solve for x
    x = 7,356,583.68/3,065.28
  6. Step 6: Final answer
    x = 2,399.97

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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.