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Finding the Fourth Proportional to 3,057.22, 4,219.01 and 1,659.97

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Solution

The fourth proportional to 3,057.22, 4,219.01 and 1,659.97 is: 2,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.22 : 4,219.01 = 1,659.97 : x
  2. Step 2: Convert to fraction form
    3,057.22/4,219.01 = 1,659.97/x
  3. Step 3: Cross multiply
    3,057.22x = 4,219.01 × 1,659.97
  4. Step 4: Simplify right side
    3,057.22x = 7,003,430.03
  5. Step 5: Solve for x
    x = 7,003,430.03/3,057.22
  6. Step 6: Final answer
    x = 2,290.78

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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.