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Finding the Fourth Proportional to 1,882.33, 2,817.57 and 1,293.90

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Solution

The fourth proportional to 1,882.33, 2,817.57 and 1,293.90 is: 1,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.33 : 2,817.57 = 1,293.90 : x
  2. Step 2: Convert to fraction form
    1,882.33/2,817.57 = 1,293.90/x
  3. Step 3: Cross multiply
    1,882.33x = 2,817.57 × 1,293.90
  4. Step 4: Simplify right side
    1,882.33x = 3,645,653.82
  5. Step 5: Solve for x
    x = 3,645,653.82/1,882.33
  6. Step 6: Final answer
    x = 1,936.78

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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.