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Finding the Fourth Proportional to 2,775.21, 4,163.99 and 2,541.62

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Solution

The fourth proportional to 2,775.21, 4,163.99 and 2,541.62 is: 3,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.21 : 4,163.99 = 2,541.62 : x
  2. Step 2: Convert to fraction form
    2,775.21/4,163.99 = 2,541.62/x
  3. Step 3: Cross multiply
    2,775.21x = 4,163.99 × 2,541.62
  4. Step 4: Simplify right side
    2,775.21x = 10,583,246.74
  5. Step 5: Solve for x
    x = 10,583,246.74/2,775.21
  6. Step 6: Final answer
    x = 3,813.49

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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.