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Finding the Fourth Proportional to 3,197.70, 4,797.23 and 976.41

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Solution

The fourth proportional to 3,197.70, 4,797.23 and 976.41 is: 1,464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.70 : 4,797.23 = 976.41 : x
  2. Step 2: Convert to fraction form
    3,197.70/4,797.23 = 976.41/x
  3. Step 3: Cross multiply
    3,197.70x = 4,797.23 × 976.41
  4. Step 4: Simplify right side
    3,197.70x = 4,684,058.46
  5. Step 5: Solve for x
    x = 4,684,058.46/3,197.70
  6. Step 6: Final answer
    x = 1,464.82

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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.