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Finding the Fourth Proportional to 2,746, 4,119 and 798.22

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Solution

The fourth proportional to 2,746, 4,119 and 798.22 is: 1,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746 : 4,119 = 798.22 : x
  2. Step 2: Convert to fraction form
    2,746/4,119 = 798.22/x
  3. Step 3: Cross multiply
    2,746x = 4,119 × 798.22
  4. Step 4: Simplify right side
    2,746x = 3,287,868.18
  5. Step 5: Solve for x
    x = 3,287,868.18/2,746
  6. Step 6: Final answer
    x = 1,197.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.