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Finding the Fourth Proportional to 2,881.50, 3,976.75 and 1,887.32

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Solution

The fourth proportional to 2,881.50, 3,976.75 and 1,887.32 is: 2,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.50 : 3,976.75 = 1,887.32 : x
  2. Step 2: Convert to fraction form
    2,881.50/3,976.75 = 1,887.32/x
  3. Step 3: Cross multiply
    2,881.50x = 3,976.75 × 1,887.32
  4. Step 4: Simplify right side
    2,881.50x = 7,505,375.21
  5. Step 5: Solve for x
    x = 7,505,375.21/2,881.50
  6. Step 6: Final answer
    x = 2,604.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.