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Finding the Fourth Proportional to 2,976.48, 4,096.44 and 2,604.42

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Solution

The fourth proportional to 2,976.48, 4,096.44 and 2,604.42 is: 3,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.48 : 4,096.44 = 2,604.42 : x
  2. Step 2: Convert to fraction form
    2,976.48/4,096.44 = 2,604.42/x
  3. Step 3: Cross multiply
    2,976.48x = 4,096.44 × 2,604.42
  4. Step 4: Simplify right side
    2,976.48x = 10,668,850.26
  5. Step 5: Solve for x
    x = 10,668,850.26/2,976.48
  6. Step 6: Final answer
    x = 3,584.39

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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.