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Finding the Fourth Proportional to 2,027.20, 2,797.62 and 1,241

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Solution

The fourth proportional to 2,027.20, 2,797.62 and 1,241 is: 1,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.20 : 2,797.62 = 1,241 : x
  2. Step 2: Convert to fraction form
    2,027.20/2,797.62 = 1,241/x
  3. Step 3: Cross multiply
    2,027.20x = 2,797.62 × 1,241
  4. Step 4: Simplify right side
    2,027.20x = 3,471,846.42
  5. Step 5: Solve for x
    x = 3,471,846.42/2,027.20
  6. Step 6: Final answer
    x = 1,712.63

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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.