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Finding the Fourth Proportional to 1,964.56, 2,940.44 and 1,234.64

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Solution

The fourth proportional to 1,964.56, 2,940.44 and 1,234.64 is: 1,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.56 : 2,940.44 = 1,234.64 : x
  2. Step 2: Convert to fraction form
    1,964.56/2,940.44 = 1,234.64/x
  3. Step 3: Cross multiply
    1,964.56x = 2,940.44 × 1,234.64
  4. Step 4: Simplify right side
    1,964.56x = 3,630,384.84
  5. Step 5: Solve for x
    x = 3,630,384.84/1,964.56
  6. Step 6: Final answer
    x = 1,847.94

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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.