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Finding the Fourth Proportional to 2,014.98, 3,022.49 and 628.26

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Solution

The fourth proportional to 2,014.98, 3,022.49 and 628.26 is: 942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.98 : 3,022.49 = 628.26 : x
  2. Step 2: Convert to fraction form
    2,014.98/3,022.49 = 628.26/x
  3. Step 3: Cross multiply
    2,014.98x = 3,022.49 × 628.26
  4. Step 4: Simplify right side
    2,014.98x = 1,898,906.43
  5. Step 5: Solve for x
    x = 1,898,906.43/2,014.98
  6. Step 6: Final answer
    x = 942.39

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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.