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Finding the Fourth Proportional to 2,027.41, 2,797.81 and 1,143.22

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Solution

The fourth proportional to 2,027.41, 2,797.81 and 1,143.22 is: 1,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.41 : 2,797.81 = 1,143.22 : x
  2. Step 2: Convert to fraction form
    2,027.41/2,797.81 = 1,143.22/x
  3. Step 3: Cross multiply
    2,027.41x = 2,797.81 × 1,143.22
  4. Step 4: Simplify right side
    2,027.41x = 3,198,506.78
  5. Step 5: Solve for x
    x = 3,198,506.78/2,027.41
  6. Step 6: Final answer
    x = 1,577.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.