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Finding the Fourth Proportional to 4,129.64, 6,194.46 and 1,940.44

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Solution

The fourth proportional to 4,129.64, 6,194.46 and 1,940.44 is: 2,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.64 : 6,194.46 = 1,940.44 : x
  2. Step 2: Convert to fraction form
    4,129.64/6,194.46 = 1,940.44/x
  3. Step 3: Cross multiply
    4,129.64x = 6,194.46 × 1,940.44
  4. Step 4: Simplify right side
    4,129.64x = 12,019,977.96
  5. Step 5: Solve for x
    x = 12,019,977.96/4,129.64
  6. Step 6: Final answer
    x = 2,910.66

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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.