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Finding the Fourth Proportional to 2,002.76, 2,763.72 and 1,163.40

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Solution

The fourth proportional to 2,002.76, 2,763.72 and 1,163.40 is: 1,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.76 : 2,763.72 = 1,163.40 : x
  2. Step 2: Convert to fraction form
    2,002.76/2,763.72 = 1,163.40/x
  3. Step 3: Cross multiply
    2,002.76x = 2,763.72 × 1,163.40
  4. Step 4: Simplify right side
    2,002.76x = 3,215,311.85
  5. Step 5: Solve for x
    x = 3,215,311.85/2,002.76
  6. Step 6: Final answer
    x = 1,605.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.