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Finding the Fourth Proportional to 2,194.44, 3,027.06 and 1,365

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Solution

The fourth proportional to 2,194.44, 3,027.06 and 1,365 is: 1,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.44 : 3,027.06 = 1,365 : x
  2. Step 2: Convert to fraction form
    2,194.44/3,027.06 = 1,365/x
  3. Step 3: Cross multiply
    2,194.44x = 3,027.06 × 1,365
  4. Step 4: Simplify right side
    2,194.44x = 4,131,936.90
  5. Step 5: Solve for x
    x = 4,131,936.90/2,194.44
  6. Step 6: Final answer
    x = 1,882.91

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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.