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Finding the Fourth Proportional to 2,736.14, 4,105.04 and 887.54

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Solution

The fourth proportional to 2,736.14, 4,105.04 and 887.54 is: 1,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.14 : 4,105.04 = 887.54 : x
  2. Step 2: Convert to fraction form
    2,736.14/4,105.04 = 887.54/x
  3. Step 3: Cross multiply
    2,736.14x = 4,105.04 × 887.54
  4. Step 4: Simplify right side
    2,736.14x = 3,643,362.24
  5. Step 5: Solve for x
    x = 3,643,362.24/2,736.14
  6. Step 6: Final answer
    x = 1,331.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.