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Finding the Fourth Proportional to 1,923.38, 2,884.03 and 996.64

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Solution

The fourth proportional to 1,923.38, 2,884.03 and 996.64 is: 1,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.38 : 2,884.03 = 996.64 : x
  2. Step 2: Convert to fraction form
    1,923.38/2,884.03 = 996.64/x
  3. Step 3: Cross multiply
    1,923.38x = 2,884.03 × 996.64
  4. Step 4: Simplify right side
    1,923.38x = 2,874,325.24
  5. Step 5: Solve for x
    x = 2,874,325.24/1,923.38
  6. Step 6: Final answer
    x = 1,494.42

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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.