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Finding the Fourth Proportional to 2,770.34, 4,155.49 and 822.40

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Solution

The fourth proportional to 2,770.34, 4,155.49 and 822.40 is: 1,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.34 : 4,155.49 = 822.40 : x
  2. Step 2: Convert to fraction form
    2,770.34/4,155.49 = 822.40/x
  3. Step 3: Cross multiply
    2,770.34x = 4,155.49 × 822.40
  4. Step 4: Simplify right side
    2,770.34x = 3,417,474.98
  5. Step 5: Solve for x
    x = 3,417,474.98/2,770.34
  6. Step 6: Final answer
    x = 1,233.59

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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.