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Finding the Fourth Proportional to 1,997.34, 2,756.34 and 1,211.22

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Solution

The fourth proportional to 1,997.34, 2,756.34 and 1,211.22 is: 1,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.34 : 2,756.34 = 1,211.22 : x
  2. Step 2: Convert to fraction form
    1,997.34/2,756.34 = 1,211.22/x
  3. Step 3: Cross multiply
    1,997.34x = 2,756.34 × 1,211.22
  4. Step 4: Simplify right side
    1,997.34x = 3,338,534.13
  5. Step 5: Solve for x
    x = 3,338,534.13/1,997.34
  6. Step 6: Final answer
    x = 1,671.49

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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.