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Finding the Fourth Proportional to 2,200.57, 3,037.10 and 1,361.54

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Solution

The fourth proportional to 2,200.57, 3,037.10 and 1,361.54 is: 1,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.57 : 3,037.10 = 1,361.54 : x
  2. Step 2: Convert to fraction form
    2,200.57/3,037.10 = 1,361.54/x
  3. Step 3: Cross multiply
    2,200.57x = 3,037.10 × 1,361.54
  4. Step 4: Simplify right side
    2,200.57x = 4,135,133.92
  5. Step 5: Solve for x
    x = 4,135,133.92/2,200.57
  6. Step 6: Final answer
    x = 1,879.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.