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Finding the Fourth Proportional to 2,326.27, 3,489.41 and 682.81

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Solution

The fourth proportional to 2,326.27, 3,489.41 and 682.81 is: 1,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.27 : 3,489.41 = 682.81 : x
  2. Step 2: Convert to fraction form
    2,326.27/3,489.41 = 682.81/x
  3. Step 3: Cross multiply
    2,326.27x = 3,489.41 × 682.81
  4. Step 4: Simplify right side
    2,326.27x = 2,382,583.18
  5. Step 5: Solve for x
    x = 2,382,583.18/2,326.27
  6. Step 6: Final answer
    x = 1,024.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.