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Finding the Fourth Proportional to 3,105.98, 4,657.74 and 1,373.39

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Solution

The fourth proportional to 3,105.98, 4,657.74 and 1,373.39 is: 2,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.98 : 4,657.74 = 1,373.39 : x
  2. Step 2: Convert to fraction form
    3,105.98/4,657.74 = 1,373.39/x
  3. Step 3: Cross multiply
    3,105.98x = 4,657.74 × 1,373.39
  4. Step 4: Simplify right side
    3,105.98x = 6,396,893.54
  5. Step 5: Solve for x
    x = 6,396,893.54/3,105.98
  6. Step 6: Final answer
    x = 2,059.54

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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.