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Finding the Fourth Proportional to 2,794.20, 3,855.50 and 1,614.84

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Solution

The fourth proportional to 2,794.20, 3,855.50 and 1,614.84 is: 2,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.20 : 3,855.50 = 1,614.84 : x
  2. Step 2: Convert to fraction form
    2,794.20/3,855.50 = 1,614.84/x
  3. Step 3: Cross multiply
    2,794.20x = 3,855.50 × 1,614.84
  4. Step 4: Simplify right side
    2,794.20x = 6,226,015.62
  5. Step 5: Solve for x
    x = 6,226,015.62/2,794.20
  6. Step 6: Final answer
    x = 2,228.19

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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.