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Finding the Fourth Proportional to 2,105.75, 3,164.70 and 2,093.60

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Solution

The fourth proportional to 2,105.75, 3,164.70 and 2,093.60 is: 3,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.75 : 3,164.70 = 2,093.60 : x
  2. Step 2: Convert to fraction form
    2,105.75/3,164.70 = 2,093.60/x
  3. Step 3: Cross multiply
    2,105.75x = 3,164.70 × 2,093.60
  4. Step 4: Simplify right side
    2,105.75x = 6,625,615.92
  5. Step 5: Solve for x
    x = 6,625,615.92/2,105.75
  6. Step 6: Final answer
    x = 3,146.44

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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.