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Finding the Fourth Proportional to 3,022.97, 4,534.68 and 1,266.21

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Solution

The fourth proportional to 3,022.97, 4,534.68 and 1,266.21 is: 1,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.97 : 4,534.68 = 1,266.21 : x
  2. Step 2: Convert to fraction form
    3,022.97/4,534.68 = 1,266.21/x
  3. Step 3: Cross multiply
    3,022.97x = 4,534.68 × 1,266.21
  4. Step 4: Simplify right side
    3,022.97x = 5,741,857.16
  5. Step 5: Solve for x
    x = 5,741,857.16/3,022.97
  6. Step 6: Final answer
    x = 1,899.41

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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.