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Finding the Fourth Proportional to 2,998.14, 4,137.24 and 1,739.24

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Solution

The fourth proportional to 2,998.14, 4,137.24 and 1,739.24 is: 2,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.14 : 4,137.24 = 1,739.24 : x
  2. Step 2: Convert to fraction form
    2,998.14/4,137.24 = 1,739.24/x
  3. Step 3: Cross multiply
    2,998.14x = 4,137.24 × 1,739.24
  4. Step 4: Simplify right side
    2,998.14x = 7,195,653.30
  5. Step 5: Solve for x
    x = 7,195,653.30/2,998.14
  6. Step 6: Final answer
    x = 2,400.04

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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.