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Finding the Fourth Proportional to 1,964.28, 2,944.04 and 923.43

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Solution

The fourth proportional to 1,964.28, 2,944.04 and 923.43 is: 1,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.28 : 2,944.04 = 923.43 : x
  2. Step 2: Convert to fraction form
    1,964.28/2,944.04 = 923.43/x
  3. Step 3: Cross multiply
    1,964.28x = 2,944.04 × 923.43
  4. Step 4: Simplify right side
    1,964.28x = 2,718,610.24
  5. Step 5: Solve for x
    x = 2,718,610.24/1,964.28
  6. Step 6: Final answer
    x = 1,384.02

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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.