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Finding the Fourth Proportional to 2,531.01, 3,796.05 and 681.69

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Solution

The fourth proportional to 2,531.01, 3,796.05 and 681.69 is: 1,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.01 : 3,796.05 = 681.69 : x
  2. Step 2: Convert to fraction form
    2,531.01/3,796.05 = 681.69/x
  3. Step 3: Cross multiply
    2,531.01x = 3,796.05 × 681.69
  4. Step 4: Simplify right side
    2,531.01x = 2,587,729.32
  5. Step 5: Solve for x
    x = 2,587,729.32/2,531.01
  6. Step 6: Final answer
    x = 1,022.41

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