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Finding the Fourth Proportional to 2,793.88, 3,860.42 and 2,296.14

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Solution

The fourth proportional to 2,793.88, 3,860.42 and 2,296.14 is: 3,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.88 : 3,860.42 = 2,296.14 : x
  2. Step 2: Convert to fraction form
    2,793.88/3,860.42 = 2,296.14/x
  3. Step 3: Cross multiply
    2,793.88x = 3,860.42 × 2,296.14
  4. Step 4: Simplify right side
    2,793.88x = 8,864,064.78
  5. Step 5: Solve for x
    x = 8,864,064.78/2,793.88
  6. Step 6: Final answer
    x = 3,172.67

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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.