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Finding the Fourth Proportional to 3,179.96, 4,766.10 and 1,446.20

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Solution

The fourth proportional to 3,179.96, 4,766.10 and 1,446.20 is: 2,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.96 : 4,766.10 = 1,446.20 : x
  2. Step 2: Convert to fraction form
    3,179.96/4,766.10 = 1,446.20/x
  3. Step 3: Cross multiply
    3,179.96x = 4,766.10 × 1,446.20
  4. Step 4: Simplify right side
    3,179.96x = 6,892,733.82
  5. Step 5: Solve for x
    x = 6,892,733.82/3,179.96
  6. Step 6: Final answer
    x = 2,167.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.