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Finding the Fourth Proportional to 2,511.72, 3,767.90 and 867.82

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Solution

The fourth proportional to 2,511.72, 3,767.90 and 867.82 is: 1,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.72 : 3,767.90 = 867.82 : x
  2. Step 2: Convert to fraction form
    2,511.72/3,767.90 = 867.82/x
  3. Step 3: Cross multiply
    2,511.72x = 3,767.90 × 867.82
  4. Step 4: Simplify right side
    2,511.72x = 3,269,858.98
  5. Step 5: Solve for x
    x = 3,269,858.98/2,511.72
  6. Step 6: Final answer
    x = 1,301.84

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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.