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Finding the Fourth Proportional to 7,295, 10,944.34 and 2,100.88

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Solution

The fourth proportional to 7,295, 10,944.34 and 2,100.88 is: 3,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295 : 10,944.34 = 2,100.88 : x
  2. Step 2: Convert to fraction form
    7,295/10,944.34 = 2,100.88/x
  3. Step 3: Cross multiply
    7,295x = 10,944.34 × 2,100.88
  4. Step 4: Simplify right side
    7,295x = 22,992,745.02
  5. Step 5: Solve for x
    x = 22,992,745.02/7,295
  6. Step 6: Final answer
    x = 3,151.85

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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.