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Finding the Fourth Proportional to 2,268.26, 3,401.76 and 624.41

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Solution

The fourth proportional to 2,268.26, 3,401.76 and 624.41 is: 936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.26 : 3,401.76 = 624.41 : x
  2. Step 2: Convert to fraction form
    2,268.26/3,401.76 = 624.41/x
  3. Step 3: Cross multiply
    2,268.26x = 3,401.76 × 624.41
  4. Step 4: Simplify right side
    2,268.26x = 2,124,092.96
  5. Step 5: Solve for x
    x = 2,124,092.96/2,268.26
  6. Step 6: Final answer
    x = 936.44

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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.