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Finding the Fourth Proportional to 2,998.91, 4,137.02 and 2,004.44

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Solution

The fourth proportional to 2,998.91, 4,137.02 and 2,004.44 is: 2,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.91 : 4,137.02 = 2,004.44 : x
  2. Step 2: Convert to fraction form
    2,998.91/4,137.02 = 2,004.44/x
  3. Step 3: Cross multiply
    2,998.91x = 4,137.02 × 2,004.44
  4. Step 4: Simplify right side
    2,998.91x = 8,292,377.66
  5. Step 5: Solve for x
    x = 8,292,377.66/2,998.91
  6. Step 6: Final answer
    x = 2,765.14

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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.