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Finding the Fourth Proportional to 1,847.17, 2,770.27 and 548.34

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Solution

The fourth proportional to 1,847.17, 2,770.27 and 548.34 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.17 : 2,770.27 = 548.34 : x
  2. Step 2: Convert to fraction form
    1,847.17/2,770.27 = 548.34/x
  3. Step 3: Cross multiply
    1,847.17x = 2,770.27 × 548.34
  4. Step 4: Simplify right side
    1,847.17x = 1,519,049.85
  5. Step 5: Solve for x
    x = 1,519,049.85/1,847.17
  6. Step 6: Final answer
    x = 822.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.