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Finding the Fourth Proportional to 1,997.64, 2,996.87 and 1,121.40

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Solution

The fourth proportional to 1,997.64, 2,996.87 and 1,121.40 is: 1,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.64 : 2,996.87 = 1,121.40 : x
  2. Step 2: Convert to fraction form
    1,997.64/2,996.87 = 1,121.40/x
  3. Step 3: Cross multiply
    1,997.64x = 2,996.87 × 1,121.40
  4. Step 4: Simplify right side
    1,997.64x = 3,360,684.41
  5. Step 5: Solve for x
    x = 3,360,684.41/1,997.64
  6. Step 6: Final answer
    x = 1,682.33

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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.