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Finding the Fourth Proportional to 1,945.73, 2,682.62 and 1,414.18

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Solution

The fourth proportional to 1,945.73, 2,682.62 and 1,414.18 is: 1,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.73 : 2,682.62 = 1,414.18 : x
  2. Step 2: Convert to fraction form
    1,945.73/2,682.62 = 1,414.18/x
  3. Step 3: Cross multiply
    1,945.73x = 2,682.62 × 1,414.18
  4. Step 4: Simplify right side
    1,945.73x = 3,793,693.77
  5. Step 5: Solve for x
    x = 3,793,693.77/1,945.73
  6. Step 6: Final answer
    x = 1,949.75

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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.