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Finding the Fourth Proportional to 2,998.73, 4,138.20 and 1,672.49

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Solution

The fourth proportional to 2,998.73, 4,138.20 and 1,672.49 is: 2,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.73 : 4,138.20 = 1,672.49 : x
  2. Step 2: Convert to fraction form
    2,998.73/4,138.20 = 1,672.49/x
  3. Step 3: Cross multiply
    2,998.73x = 4,138.20 × 1,672.49
  4. Step 4: Simplify right side
    2,998.73x = 6,921,089.76
  5. Step 5: Solve for x
    x = 6,921,089.76/2,998.73
  6. Step 6: Final answer
    x = 2,308.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.