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Finding the Fourth Proportional to 2,794.63, 4,193.09 and 1,233.80

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Solution

The fourth proportional to 2,794.63, 4,193.09 and 1,233.80 is: 1,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.63 : 4,193.09 = 1,233.80 : x
  2. Step 2: Convert to fraction form
    2,794.63/4,193.09 = 1,233.80/x
  3. Step 3: Cross multiply
    2,794.63x = 4,193.09 × 1,233.80
  4. Step 4: Simplify right side
    2,794.63x = 5,173,434.44
  5. Step 5: Solve for x
    x = 5,173,434.44/2,794.63
  6. Step 6: Final answer
    x = 1,851.21

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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.