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Finding the Fourth Proportional to 3,101.09, 4,279.23 and 1,980.05

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Solution

The fourth proportional to 3,101.09, 4,279.23 and 1,980.05 is: 2,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.09 : 4,279.23 = 1,980.05 : x
  2. Step 2: Convert to fraction form
    3,101.09/4,279.23 = 1,980.05/x
  3. Step 3: Cross multiply
    3,101.09x = 4,279.23 × 1,980.05
  4. Step 4: Simplify right side
    3,101.09x = 8,473,067.97
  5. Step 5: Solve for x
    x = 8,473,067.97/3,101.09
  6. Step 6: Final answer
    x = 2,732.29

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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.