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Finding the Fourth Proportional to 1,996.37, 3,004.50 and 1,505.30

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Solution

The fourth proportional to 1,996.37, 3,004.50 and 1,505.30 is: 2,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.37 : 3,004.50 = 1,505.30 : x
  2. Step 2: Convert to fraction form
    1,996.37/3,004.50 = 1,505.30/x
  3. Step 3: Cross multiply
    1,996.37x = 3,004.50 × 1,505.30
  4. Step 4: Simplify right side
    1,996.37x = 4,522,673.85
  5. Step 5: Solve for x
    x = 4,522,673.85/1,996.37
  6. Step 6: Final answer
    x = 2,265.45

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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.