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Finding the Fourth Proportional to 1,789.13, 2,469.13 and 1,003.23

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Solution

The fourth proportional to 1,789.13, 2,469.13 and 1,003.23 is: 1,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.13 : 2,469.13 = 1,003.23 : x
  2. Step 2: Convert to fraction form
    1,789.13/2,469.13 = 1,003.23/x
  3. Step 3: Cross multiply
    1,789.13x = 2,469.13 × 1,003.23
  4. Step 4: Simplify right side
    1,789.13x = 2,477,102.78
  5. Step 5: Solve for x
    x = 2,477,102.78/1,789.13
  6. Step 6: Final answer
    x = 1,384.53

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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.