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Finding the Fourth Proportional to 2,531.22, 3,797.01 and 682.36

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Solution

The fourth proportional to 2,531.22, 3,797.01 and 682.36 is: 1,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.22 : 3,797.01 = 682.36 : x
  2. Step 2: Convert to fraction form
    2,531.22/3,797.01 = 682.36/x
  3. Step 3: Cross multiply
    2,531.22x = 3,797.01 × 682.36
  4. Step 4: Simplify right side
    2,531.22x = 2,590,908.80
  5. Step 5: Solve for x
    x = 2,590,908.80/2,531.22
  6. Step 6: Final answer
    x = 1,023.58

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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.