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Finding the Fourth Proportional to 2,018.50, 3,027.40 and 557.26

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Solution

The fourth proportional to 2,018.50, 3,027.40 and 557.26 is: 835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.50 : 3,027.40 = 557.26 : x
  2. Step 2: Convert to fraction form
    2,018.50/3,027.40 = 557.26/x
  3. Step 3: Cross multiply
    2,018.50x = 3,027.40 × 557.26
  4. Step 4: Simplify right side
    2,018.50x = 1,687,048.92
  5. Step 5: Solve for x
    x = 1,687,048.92/2,018.50
  6. Step 6: Final answer
    x = 835.79

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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.