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Finding the Fourth Proportional to 2,326.51, 3,489.09 and 682.75

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Solution

The fourth proportional to 2,326.51, 3,489.09 and 682.75 is: 1,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.51 : 3,489.09 = 682.75 : x
  2. Step 2: Convert to fraction form
    2,326.51/3,489.09 = 682.75/x
  3. Step 3: Cross multiply
    2,326.51x = 3,489.09 × 682.75
  4. Step 4: Simplify right side
    2,326.51x = 2,382,176.20
  5. Step 5: Solve for x
    x = 2,382,176.20/2,326.51
  6. Step 6: Final answer
    x = 1,023.93

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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.