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Finding the Fourth Proportional to 2,794.10, 4,191.11 and 846.28

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Solution

The fourth proportional to 2,794.10, 4,191.11 and 846.28 is: 1,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.10 : 4,191.11 = 846.28 : x
  2. Step 2: Convert to fraction form
    2,794.10/4,191.11 = 846.28/x
  3. Step 3: Cross multiply
    2,794.10x = 4,191.11 × 846.28
  4. Step 4: Simplify right side
    2,794.10x = 3,546,856.75
  5. Step 5: Solve for x
    x = 3,546,856.75/2,794.10
  6. Step 6: Final answer
    x = 1,269.41

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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.