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Finding the Fourth Proportional to 2,200.82, 3,037.22 and 1,206.18

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Solution

The fourth proportional to 2,200.82, 3,037.22 and 1,206.18 is: 1,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.82 : 3,037.22 = 1,206.18 : x
  2. Step 2: Convert to fraction form
    2,200.82/3,037.22 = 1,206.18/x
  3. Step 3: Cross multiply
    2,200.82x = 3,037.22 × 1,206.18
  4. Step 4: Simplify right side
    2,200.82x = 3,663,427.99
  5. Step 5: Solve for x
    x = 3,663,427.99/2,200.82
  6. Step 6: Final answer
    x = 1,664.58

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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.