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Finding the Fourth Proportional to 2,965.46, 4,092.46 and 1,846.44

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Solution

The fourth proportional to 2,965.46, 4,092.46 and 1,846.44 is: 2,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.46 : 4,092.46 = 1,846.44 : x
  2. Step 2: Convert to fraction form
    2,965.46/4,092.46 = 1,846.44/x
  3. Step 3: Cross multiply
    2,965.46x = 4,092.46 × 1,846.44
  4. Step 4: Simplify right side
    2,965.46x = 7,556,477.23
  5. Step 5: Solve for x
    x = 7,556,477.23/2,965.46
  6. Step 6: Final answer
    x = 2,548.17

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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.