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Finding the Fourth Proportional to 2,774.44, 4,163.44 and 2,551.96

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Solution

The fourth proportional to 2,774.44, 4,163.44 and 2,551.96 is: 3,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.44 : 4,163.44 = 2,551.96 : x
  2. Step 2: Convert to fraction form
    2,774.44/4,163.44 = 2,551.96/x
  3. Step 3: Cross multiply
    2,774.44x = 4,163.44 × 2,551.96
  4. Step 4: Simplify right side
    2,774.44x = 10,624,932.34
  5. Step 5: Solve for x
    x = 10,624,932.34/2,774.44
  6. Step 6: Final answer
    x = 3,829.58

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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.