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Finding the Fourth Proportional to 2,200.92, 3,037.29 and 1,206.18

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Solution

The fourth proportional to 2,200.92, 3,037.29 and 1,206.18 is: 1,664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.92 : 3,037.29 = 1,206.18 : x
  2. Step 2: Convert to fraction form
    2,200.92/3,037.29 = 1,206.18/x
  3. Step 3: Cross multiply
    2,200.92x = 3,037.29 × 1,206.18
  4. Step 4: Simplify right side
    2,200.92x = 3,663,518.45
  5. Step 5: Solve for x
    x = 3,663,518.45/2,200.92
  6. Step 6: Final answer
    x = 1,664.54

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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.