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Finding the Fourth Proportional to 2,770.34, 4,156.20 and 822.49

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Solution

The fourth proportional to 2,770.34, 4,156.20 and 822.49 is: 1,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.34 : 4,156.20 = 822.49 : x
  2. Step 2: Convert to fraction form
    2,770.34/4,156.20 = 822.49/x
  3. Step 3: Cross multiply
    2,770.34x = 4,156.20 × 822.49
  4. Step 4: Simplify right side
    2,770.34x = 3,418,422.55
  5. Step 5: Solve for x
    x = 3,418,422.55/2,770.34
  6. Step 6: Final answer
    x = 1,233.94

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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.