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Finding the Fourth Proportional to 3,244.73, 4,865.87 and 1,164.17

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Solution

The fourth proportional to 3,244.73, 4,865.87 and 1,164.17 is: 1,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.73 : 4,865.87 = 1,164.17 : x
  2. Step 2: Convert to fraction form
    3,244.73/4,865.87 = 1,164.17/x
  3. Step 3: Cross multiply
    3,244.73x = 4,865.87 × 1,164.17
  4. Step 4: Simplify right side
    3,244.73x = 5,664,669.73
  5. Step 5: Solve for x
    x = 5,664,669.73/3,244.73
  6. Step 6: Final answer
    x = 1,745.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.