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Finding the Fourth Proportional to 1,847.23, 2,770.77 and 548.66

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Solution

The fourth proportional to 1,847.23, 2,770.77 and 548.66 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.23 : 2,770.77 = 548.66 : x
  2. Step 2: Convert to fraction form
    1,847.23/2,770.77 = 548.66/x
  3. Step 3: Cross multiply
    1,847.23x = 2,770.77 × 548.66
  4. Step 4: Simplify right side
    1,847.23x = 1,520,219.65
  5. Step 5: Solve for x
    x = 1,520,219.65/1,847.23
  6. Step 6: Final answer
    x = 822.97

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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.