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Finding the Fourth Proportional to 2,326.33, 3,489.84 and 682.68

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Solution

The fourth proportional to 2,326.33, 3,489.84 and 682.68 is: 1,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.33 : 3,489.84 = 682.68 : x
  2. Step 2: Convert to fraction form
    2,326.33/3,489.84 = 682.68/x
  3. Step 3: Cross multiply
    2,326.33x = 3,489.84 × 682.68
  4. Step 4: Simplify right side
    2,326.33x = 2,382,443.97
  5. Step 5: Solve for x
    x = 2,382,443.97/2,326.33
  6. Step 6: Final answer
    x = 1,024.12

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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.