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Finding the Fourth Proportional to 2,171.82, 2,997.14 and 1,288.22

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Solution

The fourth proportional to 2,171.82, 2,997.14 and 1,288.22 is: 1,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.82 : 2,997.14 = 1,288.22 : x
  2. Step 2: Convert to fraction form
    2,171.82/2,997.14 = 1,288.22/x
  3. Step 3: Cross multiply
    2,171.82x = 2,997.14 × 1,288.22
  4. Step 4: Simplify right side
    2,171.82x = 3,860,954.26
  5. Step 5: Solve for x
    x = 3,860,954.26/2,171.82
  6. Step 6: Final answer
    x = 1,777.75

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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.