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Finding the Fourth Proportional to 1,789.43, 2,469.34 and 1,003.46

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Solution

The fourth proportional to 1,789.43, 2,469.34 and 1,003.46 is: 1,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.43 : 2,469.34 = 1,003.46 : x
  2. Step 2: Convert to fraction form
    1,789.43/2,469.34 = 1,003.46/x
  3. Step 3: Cross multiply
    1,789.43x = 2,469.34 × 1,003.46
  4. Step 4: Simplify right side
    1,789.43x = 2,477,883.92
  5. Step 5: Solve for x
    x = 2,477,883.92/1,789.43
  6. Step 6: Final answer
    x = 1,384.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.