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Finding the Fourth Proportional to 2,796.41, 4,194.61 and 716.41

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Solution

The fourth proportional to 2,796.41, 4,194.61 and 716.41 is: 1,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.41 : 4,194.61 = 716.41 : x
  2. Step 2: Convert to fraction form
    2,796.41/4,194.61 = 716.41/x
  3. Step 3: Cross multiply
    2,796.41x = 4,194.61 × 716.41
  4. Step 4: Simplify right side
    2,796.41x = 3,005,048.27
  5. Step 5: Solve for x
    x = 3,005,048.27/2,796.41
  6. Step 6: Final answer
    x = 1,074.61

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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.