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Finding the Fourth Proportional to 4,511.71, 6,767.97 and 1,224.82

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Solution

The fourth proportional to 4,511.71, 6,767.97 and 1,224.82 is: 1,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.71 : 6,767.97 = 1,224.82 : x
  2. Step 2: Convert to fraction form
    4,511.71/6,767.97 = 1,224.82/x
  3. Step 3: Cross multiply
    4,511.71x = 6,767.97 × 1,224.82
  4. Step 4: Simplify right side
    4,511.71x = 8,289,545.02
  5. Step 5: Solve for x
    x = 8,289,545.02/4,511.71
  6. Step 6: Final answer
    x = 1,837.34

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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.