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Finding the Fourth Proportional to 2,531.31, 3,796.97 and 800.07

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Solution

The fourth proportional to 2,531.31, 3,796.97 and 800.07 is: 1,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.31 : 3,796.97 = 800.07 : x
  2. Step 2: Convert to fraction form
    2,531.31/3,796.97 = 800.07/x
  3. Step 3: Cross multiply
    2,531.31x = 3,796.97 × 800.07
  4. Step 4: Simplify right side
    2,531.31x = 3,037,837.79
  5. Step 5: Solve for x
    x = 3,037,837.79/2,531.31
  6. Step 6: Final answer
    x = 1,200.11

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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.