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Finding the Fourth Proportional to 2,037.27, 3,057.09 and 867.21

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Solution

The fourth proportional to 2,037.27, 3,057.09 and 867.21 is: 1,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.27 : 3,057.09 = 867.21 : x
  2. Step 2: Convert to fraction form
    2,037.27/3,057.09 = 867.21/x
  3. Step 3: Cross multiply
    2,037.27x = 3,057.09 × 867.21
  4. Step 4: Simplify right side
    2,037.27x = 2,651,139.02
  5. Step 5: Solve for x
    x = 2,651,139.02/2,037.27
  6. Step 6: Final answer
    x = 1,301.32

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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.