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Finding the Fourth Proportional to 2,996.80, 4,495.20 and 2,219.20

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Solution

The fourth proportional to 2,996.80, 4,495.20 and 2,219.20 is: 3,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.80 : 4,495.20 = 2,219.20 : x
  2. Step 2: Convert to fraction form
    2,996.80/4,495.20 = 2,219.20/x
  3. Step 3: Cross multiply
    2,996.80x = 4,495.20 × 2,219.20
  4. Step 4: Simplify right side
    2,996.80x = 9,975,747.84
  5. Step 5: Solve for x
    x = 9,975,747.84/2,996.80
  6. Step 6: Final answer
    x = 3,328.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.