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Finding the Fourth Proportional to 2,200.97, 3,037.37 and 1,206.24

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Solution

The fourth proportional to 2,200.97, 3,037.37 and 1,206.24 is: 1,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.97 : 3,037.37 = 1,206.24 : x
  2. Step 2: Convert to fraction form
    2,200.97/3,037.37 = 1,206.24/x
  3. Step 3: Cross multiply
    2,200.97x = 3,037.37 × 1,206.24
  4. Step 4: Simplify right side
    2,200.97x = 3,663,791.16
  5. Step 5: Solve for x
    x = 3,663,791.16/2,200.97
  6. Step 6: Final answer
    x = 1,664.63

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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.