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Finding the Fourth Proportional to 2,200.85, 3,037.14 and 1,206.12

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Solution

The fourth proportional to 2,200.85, 3,037.14 and 1,206.12 is: 1,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.85 : 3,037.14 = 1,206.12 : x
  2. Step 2: Convert to fraction form
    2,200.85/3,037.14 = 1,206.12/x
  3. Step 3: Cross multiply
    2,200.85x = 3,037.14 × 1,206.12
  4. Step 4: Simplify right side
    2,200.85x = 3,663,155.30
  5. Step 5: Solve for x
    x = 3,663,155.30/2,200.85
  6. Step 6: Final answer
    x = 1,664.43

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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.