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Finding the Fourth Proportional to 1,965.05, 2,945.62 and 1,262.82

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Solution

The fourth proportional to 1,965.05, 2,945.62 and 1,262.82 is: 1,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.05 : 2,945.62 = 1,262.82 : x
  2. Step 2: Convert to fraction form
    1,965.05/2,945.62 = 1,262.82/x
  3. Step 3: Cross multiply
    1,965.05x = 2,945.62 × 1,262.82
  4. Step 4: Simplify right side
    1,965.05x = 3,719,787.16
  5. Step 5: Solve for x
    x = 3,719,787.16/1,965.05
  6. Step 6: Final answer
    x = 1,892.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.