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Finding the Fourth Proportional to 3,010.97, 4,157.03 and 1,949.21

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Solution

The fourth proportional to 3,010.97, 4,157.03 and 1,949.21 is: 2,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.97 : 4,157.03 = 1,949.21 : x
  2. Step 2: Convert to fraction form
    3,010.97/4,157.03 = 1,949.21/x
  3. Step 3: Cross multiply
    3,010.97x = 4,157.03 × 1,949.21
  4. Step 4: Simplify right side
    3,010.97x = 8,102,893.92
  5. Step 5: Solve for x
    x = 8,102,893.92/3,010.97
  6. Step 6: Final answer
    x = 2,691.13

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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.