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Finding the Fourth Proportional to 2,101.62, 2,879.25 and 2,022.82

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Solution

The fourth proportional to 2,101.62, 2,879.25 and 2,022.82 is: 2,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.62 : 2,879.25 = 2,022.82 : x
  2. Step 2: Convert to fraction form
    2,101.62/2,879.25 = 2,022.82/x
  3. Step 3: Cross multiply
    2,101.62x = 2,879.25 × 2,022.82
  4. Step 4: Simplify right side
    2,101.62x = 5,824,204.49
  5. Step 5: Solve for x
    x = 5,824,204.49/2,101.62
  6. Step 6: Final answer
    x = 2,771.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.