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Finding the Fourth Proportional to 2,243.68, 3,365.24 and 600.35

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Solution

The fourth proportional to 2,243.68, 3,365.24 and 600.35 is: 900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.68 : 3,365.24 = 600.35 : x
  2. Step 2: Convert to fraction form
    2,243.68/3,365.24 = 600.35/x
  3. Step 3: Cross multiply
    2,243.68x = 3,365.24 × 600.35
  4. Step 4: Simplify right side
    2,243.68x = 2,020,321.83
  5. Step 5: Solve for x
    x = 2,020,321.83/2,243.68
  6. Step 6: Final answer
    x = 900.45

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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.