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Finding the Fourth Proportional to 1,619.33, 2,234.59 and 989.73

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Solution

The fourth proportional to 1,619.33, 2,234.59 and 989.73 is: 1,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.33 : 2,234.59 = 989.73 : x
  2. Step 2: Convert to fraction form
    1,619.33/2,234.59 = 989.73/x
  3. Step 3: Cross multiply
    1,619.33x = 2,234.59 × 989.73
  4. Step 4: Simplify right side
    1,619.33x = 2,211,638.29
  5. Step 5: Solve for x
    x = 2,211,638.29/1,619.33
  6. Step 6: Final answer
    x = 1,365.78

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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.