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Finding the Fourth Proportional to 1,893.14, 2,614.18 and 1,273.94

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Solution

The fourth proportional to 1,893.14, 2,614.18 and 1,273.94 is: 1,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.14 : 2,614.18 = 1,273.94 : x
  2. Step 2: Convert to fraction form
    1,893.14/2,614.18 = 1,273.94/x
  3. Step 3: Cross multiply
    1,893.14x = 2,614.18 × 1,273.94
  4. Step 4: Simplify right side
    1,893.14x = 3,330,292.21
  5. Step 5: Solve for x
    x = 3,330,292.21/1,893.14
  6. Step 6: Final answer
    x = 1,759.14

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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.