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Finding the Fourth Proportional to 3,194.76, 4,408.56 and 1,797.24

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Solution

The fourth proportional to 3,194.76, 4,408.56 and 1,797.24 is: 2,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.76 : 4,408.56 = 1,797.24 : x
  2. Step 2: Convert to fraction form
    3,194.76/4,408.56 = 1,797.24/x
  3. Step 3: Cross multiply
    3,194.76x = 4,408.56 × 1,797.24
  4. Step 4: Simplify right side
    3,194.76x = 7,923,240.37
  5. Step 5: Solve for x
    x = 7,923,240.37/3,194.76
  6. Step 6: Final answer
    x = 2,480.07

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Half scale
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Double scale
Find fourth proportional to 3,195.76, 4,409.94 and 1,798.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.