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Finding the Fourth Proportional to 2,775.62, 4,163.57 and 926.66

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Solution

The fourth proportional to 2,775.62, 4,163.57 and 926.66 is: 1,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.62 : 4,163.57 = 926.66 : x
  2. Step 2: Convert to fraction form
    2,775.62/4,163.57 = 926.66/x
  3. Step 3: Cross multiply
    2,775.62x = 4,163.57 × 926.66
  4. Step 4: Simplify right side
    2,775.62x = 3,858,213.78
  5. Step 5: Solve for x
    x = 3,858,213.78/2,775.62
  6. Step 6: Final answer
    x = 1,390.04

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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.