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Finding the Fourth Proportional to 2,027.35, 3,035.10 and 1,832.80

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Solution

The fourth proportional to 2,027.35, 3,035.10 and 1,832.80 is: 2,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.35 : 3,035.10 = 1,832.80 : x
  2. Step 2: Convert to fraction form
    2,027.35/3,035.10 = 1,832.80/x
  3. Step 3: Cross multiply
    2,027.35x = 3,035.10 × 1,832.80
  4. Step 4: Simplify right side
    2,027.35x = 5,562,706.94
  5. Step 5: Solve for x
    x = 5,562,706.94/2,027.35
  6. Step 6: Final answer
    x = 2,743.83

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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.