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Finding the Fourth Proportional to 2,846.48, 4,269.24 and 794

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Solution

The fourth proportional to 2,846.48, 4,269.24 and 794 is: 1,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.48 : 4,269.24 = 794 : x
  2. Step 2: Convert to fraction form
    2,846.48/4,269.24 = 794/x
  3. Step 3: Cross multiply
    2,846.48x = 4,269.24 × 794
  4. Step 4: Simplify right side
    2,846.48x = 3,389,776.56
  5. Step 5: Solve for x
    x = 3,389,776.56/2,846.48
  6. Step 6: Final answer
    x = 1,190.87

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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.