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Finding the Fourth Proportional to 2,018.62, 3,027.93 and 922.96

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Solution

The fourth proportional to 2,018.62, 3,027.93 and 922.96 is: 1,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.62 : 3,027.93 = 922.96 : x
  2. Step 2: Convert to fraction form
    2,018.62/3,027.93 = 922.96/x
  3. Step 3: Cross multiply
    2,018.62x = 3,027.93 × 922.96
  4. Step 4: Simplify right side
    2,018.62x = 2,794,658.27
  5. Step 5: Solve for x
    x = 2,794,658.27/2,018.62
  6. Step 6: Final answer
    x = 1,384.44

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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.