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Finding the Fourth Proportional to 2,775.74, 4,163.90 and 926.21

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Solution

The fourth proportional to 2,775.74, 4,163.90 and 926.21 is: 1,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.74 : 4,163.90 = 926.21 : x
  2. Step 2: Convert to fraction form
    2,775.74/4,163.90 = 926.21/x
  3. Step 3: Cross multiply
    2,775.74x = 4,163.90 × 926.21
  4. Step 4: Simplify right side
    2,775.74x = 3,856,620.37
  5. Step 5: Solve for x
    x = 3,856,620.37/2,775.74
  6. Step 6: Final answer
    x = 1,389.41

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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.