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Finding the Fourth Proportional to 1,996.94, 2,995.56 and 1,023.73

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Solution

The fourth proportional to 1,996.94, 2,995.56 and 1,023.73 is: 1,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.94 : 2,995.56 = 1,023.73 : x
  2. Step 2: Convert to fraction form
    1,996.94/2,995.56 = 1,023.73/x
  3. Step 3: Cross multiply
    1,996.94x = 2,995.56 × 1,023.73
  4. Step 4: Simplify right side
    1,996.94x = 3,066,644.64
  5. Step 5: Solve for x
    x = 3,066,644.64/1,996.94
  6. Step 6: Final answer
    x = 1,535.67

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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.