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Finding the Fourth Proportional to 2,065.44, 3,094.04 and 1,243.28

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Solution

The fourth proportional to 2,065.44, 3,094.04 and 1,243.28 is: 1,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.44 : 3,094.04 = 1,243.28 : x
  2. Step 2: Convert to fraction form
    2,065.44/3,094.04 = 1,243.28/x
  3. Step 3: Cross multiply
    2,065.44x = 3,094.04 × 1,243.28
  4. Step 4: Simplify right side
    2,065.44x = 3,846,736.36
  5. Step 5: Solve for x
    x = 3,846,736.36/2,065.44
  6. Step 6: Final answer
    x = 1,862.43

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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.