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Finding the Fourth Proportional to 2,522.31, 3,783.37 and 767.25

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Solution

The fourth proportional to 2,522.31, 3,783.37 and 767.25 is: 1,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.31 : 3,783.37 = 767.25 : x
  2. Step 2: Convert to fraction form
    2,522.31/3,783.37 = 767.25/x
  3. Step 3: Cross multiply
    2,522.31x = 3,783.37 × 767.25
  4. Step 4: Simplify right side
    2,522.31x = 2,902,790.63
  5. Step 5: Solve for x
    x = 2,902,790.63/2,522.31
  6. Step 6: Final answer
    x = 1,150.85

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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.