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Finding the Fourth Proportional to 1,997.12, 2,754.74 and 1,324.91

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Solution

The fourth proportional to 1,997.12, 2,754.74 and 1,324.91 is: 1,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.12 : 2,754.74 = 1,324.91 : x
  2. Step 2: Convert to fraction form
    1,997.12/2,754.74 = 1,324.91/x
  3. Step 3: Cross multiply
    1,997.12x = 2,754.74 × 1,324.91
  4. Step 4: Simplify right side
    1,997.12x = 3,649,792.77
  5. Step 5: Solve for x
    x = 3,649,792.77/1,997.12
  6. Step 6: Final answer
    x = 1,827.53

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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.