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Finding the Fourth Proportional to 2,243.78, 3,365.62 and 600.33

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Solution

The fourth proportional to 2,243.78, 3,365.62 and 600.33 is: 900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.78 : 3,365.62 = 600.33 : x
  2. Step 2: Convert to fraction form
    2,243.78/3,365.62 = 600.33/x
  3. Step 3: Cross multiply
    2,243.78x = 3,365.62 × 600.33
  4. Step 4: Simplify right side
    2,243.78x = 2,020,466.14
  5. Step 5: Solve for x
    x = 2,020,466.14/2,243.78
  6. Step 6: Final answer
    x = 900.47

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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.