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Finding the Fourth Proportional to 2,794.70, 4,189.59 and 1,406.09

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Solution

The fourth proportional to 2,794.70, 4,189.59 and 1,406.09 is: 2,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.70 : 4,189.59 = 1,406.09 : x
  2. Step 2: Convert to fraction form
    2,794.70/4,189.59 = 1,406.09/x
  3. Step 3: Cross multiply
    2,794.70x = 4,189.59 × 1,406.09
  4. Step 4: Simplify right side
    2,794.70x = 5,890,951.08
  5. Step 5: Solve for x
    x = 5,890,951.08/2,794.70
  6. Step 6: Final answer
    x = 2,107.90

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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.