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Finding the Fourth Proportional to 1,279.82, 1,764.85 and 1,205.41

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Solution

The fourth proportional to 1,279.82, 1,764.85 and 1,205.41 is: 1,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.82 : 1,764.85 = 1,205.41 : x
  2. Step 2: Convert to fraction form
    1,279.82/1,764.85 = 1,205.41/x
  3. Step 3: Cross multiply
    1,279.82x = 1,764.85 × 1,205.41
  4. Step 4: Simplify right side
    1,279.82x = 2,127,367.84
  5. Step 5: Solve for x
    x = 2,127,367.84/1,279.82
  6. Step 6: Final answer
    x = 1,662.24

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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.