Home / 3,168.96-4,753.46-977.64

Finding the Fourth Proportional to 3,168.96, 4,753.46 and 977.64

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Solution

The fourth proportional to 3,168.96, 4,753.46 and 977.64 is: 1,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.96 : 4,753.46 = 977.64 : x
  2. Step 2: Convert to fraction form
    3,168.96/4,753.46 = 977.64/x
  3. Step 3: Cross multiply
    3,168.96x = 4,753.46 × 977.64
  4. Step 4: Simplify right side
    3,168.96x = 4,647,143.98
  5. Step 5: Solve for x
    x = 4,647,143.98/3,168.96
  6. Step 6: Final answer
    x = 1,466.46

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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.