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Finding the Fourth Proportional to 3,179.66, 4,385.48 and 2,431.76

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Solution

The fourth proportional to 3,179.66, 4,385.48 and 2,431.76 is: 3,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.66 : 4,385.48 = 2,431.76 : x
  2. Step 2: Convert to fraction form
    3,179.66/4,385.48 = 2,431.76/x
  3. Step 3: Cross multiply
    3,179.66x = 4,385.48 × 2,431.76
  4. Step 4: Simplify right side
    3,179.66x = 10,664,400.76
  5. Step 5: Solve for x
    x = 10,664,400.76/3,179.66
  6. Step 6: Final answer
    x = 3,353.95

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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.