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Finding the Fourth Proportional to 2,200.96, 3,037.31 and 1,206.23

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Solution

The fourth proportional to 2,200.96, 3,037.31 and 1,206.23 is: 1,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.96 : 3,037.31 = 1,206.23 : x
  2. Step 2: Convert to fraction form
    2,200.96/3,037.31 = 1,206.23/x
  3. Step 3: Cross multiply
    2,200.96x = 3,037.31 × 1,206.23
  4. Step 4: Simplify right side
    2,200.96x = 3,663,684.53
  5. Step 5: Solve for x
    x = 3,663,684.53/2,200.96
  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.