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Finding the Fourth Proportional to 2,794.56, 4,195.20 and 2,114.88

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Solution

The fourth proportional to 2,794.56, 4,195.20 and 2,114.88 is: 3,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.56 : 4,195.20 = 2,114.88 : x
  2. Step 2: Convert to fraction form
    2,794.56/4,195.20 = 2,114.88/x
  3. Step 3: Cross multiply
    2,794.56x = 4,195.20 × 2,114.88
  4. Step 4: Simplify right side
    2,794.56x = 8,872,344.58
  5. Step 5: Solve for x
    x = 8,872,344.58/2,794.56
  6. Step 6: Final answer
    x = 3,174.86

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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.