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Finding the Fourth Proportional to 1,964.04, 2,944.85 and 923.39

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Solution

The fourth proportional to 1,964.04, 2,944.85 and 923.39 is: 1,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.04 : 2,944.85 = 923.39 : x
  2. Step 2: Convert to fraction form
    1,964.04/2,944.85 = 923.39/x
  3. Step 3: Cross multiply
    1,964.04x = 2,944.85 × 923.39
  4. Step 4: Simplify right side
    1,964.04x = 2,719,247.79
  5. Step 5: Solve for x
    x = 2,719,247.79/1,964.04
  6. Step 6: Final answer
    x = 1,384.52

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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.