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Finding the Fourth Proportional to 2,998.28, 4,136.34 and 1,739.24

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Solution

The fourth proportional to 2,998.28, 4,136.34 and 1,739.24 is: 2,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.28 : 4,136.34 = 1,739.24 : x
  2. Step 2: Convert to fraction form
    2,998.28/4,136.34 = 1,739.24/x
  3. Step 3: Cross multiply
    2,998.28x = 4,136.34 × 1,739.24
  4. Step 4: Simplify right side
    2,998.28x = 7,194,087.98
  5. Step 5: Solve for x
    x = 7,194,087.98/2,998.28
  6. Step 6: Final answer
    x = 2,399.40

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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.