Home / 3,197.60-4,796.32-976.43

Finding the Fourth Proportional to 3,197.60, 4,796.32 and 976.43

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Solution

The fourth proportional to 3,197.60, 4,796.32 and 976.43 is: 1,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.60 : 4,796.32 = 976.43 : x
  2. Step 2: Convert to fraction form
    3,197.60/4,796.32 = 976.43/x
  3. Step 3: Cross multiply
    3,197.60x = 4,796.32 × 976.43
  4. Step 4: Simplify right side
    3,197.60x = 4,683,244.31
  5. Step 5: Solve for x
    x = 4,683,244.31/3,197.60
  6. Step 6: Final answer
    x = 1,464.61

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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.