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Finding the Fourth Proportional to 1,431.73, 1,976.36 and 1,211.82

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Solution

The fourth proportional to 1,431.73, 1,976.36 and 1,211.82 is: 1,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.73 : 1,976.36 = 1,211.82 : x
  2. Step 2: Convert to fraction form
    1,431.73/1,976.36 = 1,211.82/x
  3. Step 3: Cross multiply
    1,431.73x = 1,976.36 × 1,211.82
  4. Step 4: Simplify right side
    1,431.73x = 2,394,992.58
  5. Step 5: Solve for x
    x = 2,394,992.58/1,431.73
  6. Step 6: Final answer
    x = 1,672.80

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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.