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Finding the Fourth Proportional to 1,447.16, 1,997.14 and 1,027.66

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Solution

The fourth proportional to 1,447.16, 1,997.14 and 1,027.66 is: 1,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.16 : 1,997.14 = 1,027.66 : x
  2. Step 2: Convert to fraction form
    1,447.16/1,997.14 = 1,027.66/x
  3. Step 3: Cross multiply
    1,447.16x = 1,997.14 × 1,027.66
  4. Step 4: Simplify right side
    1,447.16x = 2,052,380.89
  5. Step 5: Solve for x
    x = 2,052,380.89/1,447.16
  6. Step 6: Final answer
    x = 1,418.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.