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Finding the Fourth Proportional to 2,794.21, 4,191.68 and 919.48

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Solution

The fourth proportional to 2,794.21, 4,191.68 and 919.48 is: 1,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.21 : 4,191.68 = 919.48 : x
  2. Step 2: Convert to fraction form
    2,794.21/4,191.68 = 919.48/x
  3. Step 3: Cross multiply
    2,794.21x = 4,191.68 × 919.48
  4. Step 4: Simplify right side
    2,794.21x = 3,854,157.75
  5. Step 5: Solve for x
    x = 3,854,157.75/2,794.21
  6. Step 6: Final answer
    x = 1,379.34

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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.