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Finding the Fourth Proportional to 2,996.94, 4,137 and 2,190.62

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Solution

The fourth proportional to 2,996.94, 4,137 and 2,190.62 is: 3,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.94 : 4,137 = 2,190.62 : x
  2. Step 2: Convert to fraction form
    2,996.94/4,137 = 2,190.62/x
  3. Step 3: Cross multiply
    2,996.94x = 4,137 × 2,190.62
  4. Step 4: Simplify right side
    2,996.94x = 9,062,594.94
  5. Step 5: Solve for x
    x = 9,062,594.94/2,996.94
  6. Step 6: Final answer
    x = 3,023.95

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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.