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Finding the Fourth Proportional to 2,777.55, 4,163.67 and 1,022.15

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Solution

The fourth proportional to 2,777.55, 4,163.67 and 1,022.15 is: 1,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.55 : 4,163.67 = 1,022.15 : x
  2. Step 2: Convert to fraction form
    2,777.55/4,163.67 = 1,022.15/x
  3. Step 3: Cross multiply
    2,777.55x = 4,163.67 × 1,022.15
  4. Step 4: Simplify right side
    2,777.55x = 4,255,874.47
  5. Step 5: Solve for x
    x = 4,255,874.47/2,777.55
  6. Step 6: Final answer
    x = 1,532.24

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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.