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Finding the Fourth Proportional to 2,796.86, 4,194.80 and 744.38

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Solution

The fourth proportional to 2,796.86, 4,194.80 and 744.38 is: 1,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.86 : 4,194.80 = 744.38 : x
  2. Step 2: Convert to fraction form
    2,796.86/4,194.80 = 744.38/x
  3. Step 3: Cross multiply
    2,796.86x = 4,194.80 × 744.38
  4. Step 4: Simplify right side
    2,796.86x = 3,122,506.11
  5. Step 5: Solve for x
    x = 3,122,506.11/2,796.86
  6. Step 6: Final answer
    x = 1,116.43

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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.