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Finding the Fourth Proportional to 1,778.63, 2,671.92 and 1,163.30

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Solution

The fourth proportional to 1,778.63, 2,671.92 and 1,163.30 is: 1,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.63 : 2,671.92 = 1,163.30 : x
  2. Step 2: Convert to fraction form
    1,778.63/2,671.92 = 1,163.30/x
  3. Step 3: Cross multiply
    1,778.63x = 2,671.92 × 1,163.30
  4. Step 4: Simplify right side
    1,778.63x = 3,108,231.18
  5. Step 5: Solve for x
    x = 3,108,231.18/1,778.63
  6. Step 6: Final answer
    x = 1,747.55

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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.