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Finding the Fourth Proportional to 2,243.72, 3,365.82 and 600.28

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Solution

The fourth proportional to 2,243.72, 3,365.82 and 600.28 is: 900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.72 : 3,365.82 = 600.28 : x
  2. Step 2: Convert to fraction form
    2,243.72/3,365.82 = 600.28/x
  3. Step 3: Cross multiply
    2,243.72x = 3,365.82 × 600.28
  4. Step 4: Simplify right side
    2,243.72x = 2,020,434.43
  5. Step 5: Solve for x
    x = 2,020,434.43/2,243.72
  6. Step 6: Final answer
    x = 900.48

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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.