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Finding the Fourth Proportional to 1,682.23, 2,321.49 and 936.27

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Solution

The fourth proportional to 1,682.23, 2,321.49 and 936.27 is: 1,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.23 : 2,321.49 = 936.27 : x
  2. Step 2: Convert to fraction form
    1,682.23/2,321.49 = 936.27/x
  3. Step 3: Cross multiply
    1,682.23x = 2,321.49 × 936.27
  4. Step 4: Simplify right side
    1,682.23x = 2,173,541.44
  5. Step 5: Solve for x
    x = 2,173,541.44/1,682.23
  6. Step 6: Final answer
    x = 1,292.06

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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.