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Finding the Fourth Proportional to 2,998.42, 4,489.43 and 2,022.57

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Solution

The fourth proportional to 2,998.42, 4,489.43 and 2,022.57 is: 3,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.42 : 4,489.43 = 2,022.57 : x
  2. Step 2: Convert to fraction form
    2,998.42/4,489.43 = 2,022.57/x
  3. Step 3: Cross multiply
    2,998.42x = 4,489.43 × 2,022.57
  4. Step 4: Simplify right side
    2,998.42x = 9,080,176.32
  5. Step 5: Solve for x
    x = 9,080,176.32/2,998.42
  6. Step 6: Final answer
    x = 3,028.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.