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Finding the Fourth Proportional to 2,174.20, 2,998.65 and 1,991.95

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Solution

The fourth proportional to 2,174.20, 2,998.65 and 1,991.95 is: 2,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.20 : 2,998.65 = 1,991.95 : x
  2. Step 2: Convert to fraction form
    2,174.20/2,998.65 = 1,991.95/x
  3. Step 3: Cross multiply
    2,174.20x = 2,998.65 × 1,991.95
  4. Step 4: Simplify right side
    2,174.20x = 5,973,160.87
  5. Step 5: Solve for x
    x = 5,973,160.87/2,174.20
  6. Step 6: Final answer
    x = 2,747.29

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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.