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Finding the Fourth Proportional to 3,057.44, 4,219.22 and 1,660.19

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Solution

The fourth proportional to 3,057.44, 4,219.22 and 1,660.19 is: 2,291.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.44 : 4,219.22 = 1,660.19 : x
  2. Step 2: Convert to fraction form
    3,057.44/4,219.22 = 1,660.19/x
  3. Step 3: Cross multiply
    3,057.44x = 4,219.22 × 1,660.19
  4. Step 4: Simplify right side
    3,057.44x = 7,004,698.55
  5. Step 5: Solve for x
    x = 7,004,698.55/3,057.44
  6. Step 6: Final answer
    x = 2,291.03

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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.