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Finding the Fourth Proportional to 3,194.65, 4,408.57 and 1,797.40

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Solution

The fourth proportional to 3,194.65, 4,408.57 and 1,797.40 is: 2,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.65 : 4,408.57 = 1,797.40 : x
  2. Step 2: Convert to fraction form
    3,194.65/4,408.57 = 1,797.40/x
  3. Step 3: Cross multiply
    3,194.65x = 4,408.57 × 1,797.40
  4. Step 4: Simplify right side
    3,194.65x = 7,923,963.72
  5. Step 5: Solve for x
    x = 7,923,963.72/3,194.65
  6. Step 6: Final answer
    x = 2,480.39

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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.