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Finding the Fourth Proportional to 1,846.91, 2,770.83 and 548.38

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Solution

The fourth proportional to 1,846.91, 2,770.83 and 548.38 is: 822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.91 : 2,770.83 = 548.38 : x
  2. Step 2: Convert to fraction form
    1,846.91/2,770.83 = 548.38/x
  3. Step 3: Cross multiply
    1,846.91x = 2,770.83 × 548.38
  4. Step 4: Simplify right side
    1,846.91x = 1,519,467.76
  5. Step 5: Solve for x
    x = 1,519,467.76/1,846.91
  6. Step 6: Final answer
    x = 822.71

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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.