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Finding the Fourth Proportional to 3,197.61, 4,794.80 and 1,464.75

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Solution

The fourth proportional to 3,197.61, 4,794.80 and 1,464.75 is: 2,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.61 : 4,794.80 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    3,197.61/4,794.80 = 1,464.75/x
  3. Step 3: Cross multiply
    3,197.61x = 4,794.80 × 1,464.75
  4. Step 4: Simplify right side
    3,197.61x = 7,023,175.98
  5. Step 5: Solve for x
    x = 7,023,175.98/3,197.61
  6. Step 6: Final answer
    x = 2,196.38

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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.