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Finding the Fourth Proportional to 2,243.71, 3,365.07 and 600.13

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Solution

The fourth proportional to 2,243.71, 3,365.07 and 600.13 is: 900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.71 : 3,365.07 = 600.13 : x
  2. Step 2: Convert to fraction form
    2,243.71/3,365.07 = 600.13/x
  3. Step 3: Cross multiply
    2,243.71x = 3,365.07 × 600.13
  4. Step 4: Simplify right side
    2,243.71x = 2,019,479.46
  5. Step 5: Solve for x
    x = 2,019,479.46/2,243.71
  6. Step 6: Final answer
    x = 900.06

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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.