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Finding the Fourth Proportional to 2,998.23, 4,137.49 and 1,739.34

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Solution

The fourth proportional to 2,998.23, 4,137.49 and 1,739.34 is: 2,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.23 : 4,137.49 = 1,739.34 : x
  2. Step 2: Convert to fraction form
    2,998.23/4,137.49 = 1,739.34/x
  3. Step 3: Cross multiply
    2,998.23x = 4,137.49 × 1,739.34
  4. Step 4: Simplify right side
    2,998.23x = 7,196,504.03
  5. Step 5: Solve for x
    x = 7,196,504.03/2,998.23
  6. Step 6: Final answer
    x = 2,400.25

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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.