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Finding the Fourth Proportional to 2,061.17, 3,092.26 and 600.33

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Solution

The fourth proportional to 2,061.17, 3,092.26 and 600.33 is: 900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.17 : 3,092.26 = 600.33 : x
  2. Step 2: Convert to fraction form
    2,061.17/3,092.26 = 600.33/x
  3. Step 3: Cross multiply
    2,061.17x = 3,092.26 × 600.33
  4. Step 4: Simplify right side
    2,061.17x = 1,856,376.45
  5. Step 5: Solve for x
    x = 1,856,376.45/2,061.17
  6. Step 6: Final answer
    x = 900.64

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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.