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Finding the Fourth Proportional to 1,997.48, 2,756.79 and 1,439.80

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Solution

The fourth proportional to 1,997.48, 2,756.79 and 1,439.80 is: 1,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.48 : 2,756.79 = 1,439.80 : x
  2. Step 2: Convert to fraction form
    1,997.48/2,756.79 = 1,439.80/x
  3. Step 3: Cross multiply
    1,997.48x = 2,756.79 × 1,439.80
  4. Step 4: Simplify right side
    1,997.48x = 3,969,226.24
  5. Step 5: Solve for x
    x = 3,969,226.24/1,997.48
  6. Step 6: Final answer
    x = 1,987.12

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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.