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Finding the Fourth Proportional to 3,179.70, 4,390.74 and 2,002.86

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Solution

The fourth proportional to 3,179.70, 4,390.74 and 2,002.86 is: 2,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.70 : 4,390.74 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    3,179.70/4,390.74 = 2,002.86/x
  3. Step 3: Cross multiply
    3,179.70x = 4,390.74 × 2,002.86
  4. Step 4: Simplify right side
    3,179.70x = 8,794,037.52
  5. Step 5: Solve for x
    x = 8,794,037.52/3,179.70
  6. Step 6: Final answer
    x = 2,765.68

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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.