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Finding the Fourth Proportional to 7,179.34, 10,770.22 and 2,248

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Solution

The fourth proportional to 7,179.34, 10,770.22 and 2,248 is: 3,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.34 : 10,770.22 = 2,248 : x
  2. Step 2: Convert to fraction form
    7,179.34/10,770.22 = 2,248/x
  3. Step 3: Cross multiply
    7,179.34x = 10,770.22 × 2,248
  4. Step 4: Simplify right side
    7,179.34x = 24,211,454.56
  5. Step 5: Solve for x
    x = 24,211,454.56/7,179.34
  6. Step 6: Final answer
    x = 3,372.38

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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.