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Finding the Fourth Proportional to 2,018.70, 3,027.48 and 557.49

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Solution

The fourth proportional to 2,018.70, 3,027.48 and 557.49 is: 836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.70 : 3,027.48 = 557.49 : x
  2. Step 2: Convert to fraction form
    2,018.70/3,027.48 = 557.49/x
  3. Step 3: Cross multiply
    2,018.70x = 3,027.48 × 557.49
  4. Step 4: Simplify right side
    2,018.70x = 1,687,789.83
  5. Step 5: Solve for x
    x = 1,687,789.83/2,018.70
  6. Step 6: Final answer
    x = 836.08

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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.