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Finding the Fourth Proportional to 2,736.34, 4,105.09 and 887.42

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Solution

The fourth proportional to 2,736.34, 4,105.09 and 887.42 is: 1,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.34 : 4,105.09 = 887.42 : x
  2. Step 2: Convert to fraction form
    2,736.34/4,105.09 = 887.42/x
  3. Step 3: Cross multiply
    2,736.34x = 4,105.09 × 887.42
  4. Step 4: Simplify right side
    2,736.34x = 3,642,938.97
  5. Step 5: Solve for x
    x = 3,642,938.97/2,736.34
  6. Step 6: Final answer
    x = 1,331.32

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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.