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Finding the Fourth Proportional to 2,296.76, 3,168.11 and 2,002.73

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Solution

The fourth proportional to 2,296.76, 3,168.11 and 2,002.73 is: 2,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.76 : 3,168.11 = 2,002.73 : x
  2. Step 2: Convert to fraction form
    2,296.76/3,168.11 = 2,002.73/x
  3. Step 3: Cross multiply
    2,296.76x = 3,168.11 × 2,002.73
  4. Step 4: Simplify right side
    2,296.76x = 6,344,868.94
  5. Step 5: Solve for x
    x = 6,344,868.94/2,296.76
  6. Step 6: Final answer
    x = 2,762.53

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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.