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Finding the Fourth Proportional to 2,022.73, 3,034.10 and 561.99

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Solution

The fourth proportional to 2,022.73, 3,034.10 and 561.99 is: 842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.73 : 3,034.10 = 561.99 : x
  2. Step 2: Convert to fraction form
    2,022.73/3,034.10 = 561.99/x
  3. Step 3: Cross multiply
    2,022.73x = 3,034.10 × 561.99
  4. Step 4: Simplify right side
    2,022.73x = 1,705,133.86
  5. Step 5: Solve for x
    x = 1,705,133.86/2,022.73
  6. Step 6: Final answer
    x = 842.99

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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.