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Finding the Fourth Proportional to 2,018.57, 3,027.51 and 537.82

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Solution

The fourth proportional to 2,018.57, 3,027.51 and 537.82 is: 806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.57 : 3,027.51 = 537.82 : x
  2. Step 2: Convert to fraction form
    2,018.57/3,027.51 = 537.82/x
  3. Step 3: Cross multiply
    2,018.57x = 3,027.51 × 537.82
  4. Step 4: Simplify right side
    2,018.57x = 1,628,241.64
  5. Step 5: Solve for x
    x = 1,628,241.64/2,018.57
  6. Step 6: Final answer
    x = 806.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.