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Finding the Fourth Proportional to 2,531.82, 3,796.31 and 887.72

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Solution

The fourth proportional to 2,531.82, 3,796.31 and 887.72 is: 1,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.82 : 3,796.31 = 887.72 : x
  2. Step 2: Convert to fraction form
    2,531.82/3,796.31 = 887.72/x
  3. Step 3: Cross multiply
    2,531.82x = 3,796.31 × 887.72
  4. Step 4: Simplify right side
    2,531.82x = 3,370,072.02
  5. Step 5: Solve for x
    x = 3,370,072.02/2,531.82
  6. Step 6: Final answer
    x = 1,331.09

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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.