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Finding the Fourth Proportional to 1,996.83, 2,753.73 and 1,440.90

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Solution

The fourth proportional to 1,996.83, 2,753.73 and 1,440.90 is: 1,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.83 : 2,753.73 = 1,440.90 : x
  2. Step 2: Convert to fraction form
    1,996.83/2,753.73 = 1,440.90/x
  3. Step 3: Cross multiply
    1,996.83x = 2,753.73 × 1,440.90
  4. Step 4: Simplify right side
    1,996.83x = 3,967,849.56
  5. Step 5: Solve for x
    x = 3,967,849.56/1,996.83
  6. Step 6: Final answer
    x = 1,987.07

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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.