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Finding the Fourth Proportional to 3,433, 4,737.44 and 1,940.92

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Solution

The fourth proportional to 3,433, 4,737.44 and 1,940.92 is: 2,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433 : 4,737.44 = 1,940.92 : x
  2. Step 2: Convert to fraction form
    3,433/4,737.44 = 1,940.92/x
  3. Step 3: Cross multiply
    3,433x = 4,737.44 × 1,940.92
  4. Step 4: Simplify right side
    3,433x = 9,194,992.04
  5. Step 5: Solve for x
    x = 9,194,992.04/3,433
  6. Step 6: Final answer
    x = 2,678.41

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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.