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Finding the Fourth Proportional to 2,018.91, 3,027.82 and 558.14

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Solution

The fourth proportional to 2,018.91, 3,027.82 and 558.14 is: 837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.91 : 3,027.82 = 558.14 : x
  2. Step 2: Convert to fraction form
    2,018.91/3,027.82 = 558.14/x
  3. Step 3: Cross multiply
    2,018.91x = 3,027.82 × 558.14
  4. Step 4: Simplify right side
    2,018.91x = 1,689,938.49
  5. Step 5: Solve for x
    x = 1,689,938.49/2,018.91
  6. Step 6: Final answer
    x = 837.06

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