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Finding the Fourth Proportional to 2,027.37, 3,039.25 and 795.66

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Solution

The fourth proportional to 2,027.37, 3,039.25 and 795.66 is: 1,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.37 : 3,039.25 = 795.66 : x
  2. Step 2: Convert to fraction form
    2,027.37/3,039.25 = 795.66/x
  3. Step 3: Cross multiply
    2,027.37x = 3,039.25 × 795.66
  4. Step 4: Simplify right side
    2,027.37x = 2,418,209.66
  5. Step 5: Solve for x
    x = 2,418,209.66/2,027.37
  6. Step 6: Final answer
    x = 1,192.78

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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.