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Finding the Fourth Proportional to 2,018.16, 3,027.39 and 557.30

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Solution

The fourth proportional to 2,018.16, 3,027.39 and 557.30 is: 835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.16 : 3,027.39 = 557.30 : x
  2. Step 2: Convert to fraction form
    2,018.16/3,027.39 = 557.30/x
  3. Step 3: Cross multiply
    2,018.16x = 3,027.39 × 557.30
  4. Step 4: Simplify right side
    2,018.16x = 1,687,160.66
  5. Step 5: Solve for x
    x = 1,687,160.66/2,018.16
  6. Step 6: Final answer
    x = 835.99

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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.