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Finding the Fourth Proportional to 2,061.48, 3,092.34 and 600.50

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Solution

The fourth proportional to 2,061.48, 3,092.34 and 600.50 is: 900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.48 : 3,092.34 = 600.50 : x
  2. Step 2: Convert to fraction form
    2,061.48/3,092.34 = 600.50/x
  3. Step 3: Cross multiply
    2,061.48x = 3,092.34 × 600.50
  4. Step 4: Simplify right side
    2,061.48x = 1,856,950.17
  5. Step 5: Solve for x
    x = 1,856,950.17/2,061.48
  6. Step 6: Final answer
    x = 900.78

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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.