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Finding the Fourth Proportional to 1,824.31, 2,736.16 and 654.09

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Solution

The fourth proportional to 1,824.31, 2,736.16 and 654.09 is: 981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.31 : 2,736.16 = 654.09 : x
  2. Step 2: Convert to fraction form
    1,824.31/2,736.16 = 654.09/x
  3. Step 3: Cross multiply
    1,824.31x = 2,736.16 × 654.09
  4. Step 4: Simplify right side
    1,824.31x = 1,789,694.89
  5. Step 5: Solve for x
    x = 1,789,694.89/1,824.31
  6. Step 6: Final answer
    x = 981.03

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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.