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Finding the Fourth Proportional to 1,997.25, 2,995.98 and 764.76

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Solution

The fourth proportional to 1,997.25, 2,995.98 and 764.76 is: 1,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.25 : 2,995.98 = 764.76 : x
  2. Step 2: Convert to fraction form
    1,997.25/2,995.98 = 764.76/x
  3. Step 3: Cross multiply
    1,997.25x = 2,995.98 × 764.76
  4. Step 4: Simplify right side
    1,997.25x = 2,291,205.66
  5. Step 5: Solve for x
    x = 2,291,205.66/1,997.25
  6. Step 6: Final answer
    x = 1,147.18

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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.