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Finding the Fourth Proportional to 2,774.05, 4,163.47 and 1,440.75

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Solution

The fourth proportional to 2,774.05, 4,163.47 and 1,440.75 is: 2,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.05 : 4,163.47 = 1,440.75 : x
  2. Step 2: Convert to fraction form
    2,774.05/4,163.47 = 1,440.75/x
  3. Step 3: Cross multiply
    2,774.05x = 4,163.47 × 1,440.75
  4. Step 4: Simplify right side
    2,774.05x = 5,998,531.41
  5. Step 5: Solve for x
    x = 5,998,531.41/2,774.05
  6. Step 6: Final answer
    x = 2,162.38

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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.