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Finding the Fourth Proportional to 2,736.67, 4,105.91 and 887.84

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Solution

The fourth proportional to 2,736.67, 4,105.91 and 887.84 is: 1,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.67 : 4,105.91 = 887.84 : x
  2. Step 2: Convert to fraction form
    2,736.67/4,105.91 = 887.84/x
  3. Step 3: Cross multiply
    2,736.67x = 4,105.91 × 887.84
  4. Step 4: Simplify right side
    2,736.67x = 3,645,403.62
  5. Step 5: Solve for x
    x = 3,645,403.62/2,736.67
  6. Step 6: Final answer
    x = 1,332.06

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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.