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Finding the Fourth Proportional to 2,511.44, 3,767.64 and 867.92

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Solution

The fourth proportional to 2,511.44, 3,767.64 and 867.92 is: 1,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.44 : 3,767.64 = 867.92 : x
  2. Step 2: Convert to fraction form
    2,511.44/3,767.64 = 867.92/x
  3. Step 3: Cross multiply
    2,511.44x = 3,767.64 × 867.92
  4. Step 4: Simplify right side
    2,511.44x = 3,270,010.11
  5. Step 5: Solve for x
    x = 3,270,010.11/2,511.44
  6. Step 6: Final answer
    x = 1,302.05

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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.