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Finding the Fourth Proportional to 3,027.42, 4,179.42 and 2,037.92

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Solution

The fourth proportional to 3,027.42, 4,179.42 and 2,037.92 is: 2,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.42 : 4,179.42 = 2,037.92 : x
  2. Step 2: Convert to fraction form
    3,027.42/4,179.42 = 2,037.92/x
  3. Step 3: Cross multiply
    3,027.42x = 4,179.42 × 2,037.92
  4. Step 4: Simplify right side
    3,027.42x = 8,517,302.71
  5. Step 5: Solve for x
    x = 8,517,302.71/3,027.42
  6. Step 6: Final answer
    x = 2,813.39

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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.