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Finding the Fourth Proportional to 2,741.48, 4,112.21 and 793.68

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Solution

The fourth proportional to 2,741.48, 4,112.21 and 793.68 is: 1,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.48 : 4,112.21 = 793.68 : x
  2. Step 2: Convert to fraction form
    2,741.48/4,112.21 = 793.68/x
  3. Step 3: Cross multiply
    2,741.48x = 4,112.21 × 793.68
  4. Step 4: Simplify right side
    2,741.48x = 3,263,778.83
  5. Step 5: Solve for x
    x = 3,263,778.83/2,741.48
  6. Step 6: Final answer
    x = 1,190.52

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1.5x scale

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.