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Finding the Fourth Proportional to 4,120.92, 6,179.92 and 1,780.83

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Solution

The fourth proportional to 4,120.92, 6,179.92 and 1,780.83 is: 2,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.92 : 6,179.92 = 1,780.83 : x
  2. Step 2: Convert to fraction form
    4,120.92/6,179.92 = 1,780.83/x
  3. Step 3: Cross multiply
    4,120.92x = 6,179.92 × 1,780.83
  4. Step 4: Simplify right side
    4,120.92x = 11,005,351.58
  5. Step 5: Solve for x
    x = 11,005,351.58/4,120.92
  6. Step 6: Final answer
    x = 2,670.61

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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.