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Finding the Fourth Proportional to 2,027, 2,797.26 and 1,095.50

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Solution

The fourth proportional to 2,027, 2,797.26 and 1,095.50 is: 1,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027 : 2,797.26 = 1,095.50 : x
  2. Step 2: Convert to fraction form
    2,027/2,797.26 = 1,095.50/x
  3. Step 3: Cross multiply
    2,027x = 2,797.26 × 1,095.50
  4. Step 4: Simplify right side
    2,027x = 3,064,398.33
  5. Step 5: Solve for x
    x = 3,064,398.33/2,027
  6. Step 6: Final answer
    x = 1,511.79

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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.