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Finding the Fourth Proportional to 1,995.37, 2,993.26 and 763.82

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Solution

The fourth proportional to 1,995.37, 2,993.26 and 763.82 is: 1,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.37 : 2,993.26 = 763.82 : x
  2. Step 2: Convert to fraction form
    1,995.37/2,993.26 = 763.82/x
  3. Step 3: Cross multiply
    1,995.37x = 2,993.26 × 763.82
  4. Step 4: Simplify right side
    1,995.37x = 2,286,311.85
  5. Step 5: Solve for x
    x = 2,286,311.85/1,995.37
  6. Step 6: Final answer
    x = 1,145.81

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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.