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Finding the Fourth Proportional to 1,896.35, 2,847.61 and 1,170.54

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Solution

The fourth proportional to 1,896.35, 2,847.61 and 1,170.54 is: 1,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.35 : 2,847.61 = 1,170.54 : x
  2. Step 2: Convert to fraction form
    1,896.35/2,847.61 = 1,170.54/x
  3. Step 3: Cross multiply
    1,896.35x = 2,847.61 × 1,170.54
  4. Step 4: Simplify right side
    1,896.35x = 3,333,221.32
  5. Step 5: Solve for x
    x = 3,333,221.32/1,896.35
  6. Step 6: Final answer
    x = 1,757.71

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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.