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Finding the Fourth Proportional to 3,432.54, 4,736.73 and 1,940.37

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Solution

The fourth proportional to 3,432.54, 4,736.73 and 1,940.37 is: 2,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.54 : 4,736.73 = 1,940.37 : x
  2. Step 2: Convert to fraction form
    3,432.54/4,736.73 = 1,940.37/x
  3. Step 3: Cross multiply
    3,432.54x = 4,736.73 × 1,940.37
  4. Step 4: Simplify right side
    3,432.54x = 9,191,014.03
  5. Step 5: Solve for x
    x = 9,191,014.03/3,432.54
  6. Step 6: Final answer
    x = 2,677.61

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Why These Related Problems?

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