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Finding the Fourth Proportional to 2,219.49, 3,315.27 and 1,629.27

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Solution

The fourth proportional to 2,219.49, 3,315.27 and 1,629.27 is: 2,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.49 : 3,315.27 = 1,629.27 : x
  2. Step 2: Convert to fraction form
    2,219.49/3,315.27 = 1,629.27/x
  3. Step 3: Cross multiply
    2,219.49x = 3,315.27 × 1,629.27
  4. Step 4: Simplify right side
    2,219.49x = 5,401,469.95
  5. Step 5: Solve for x
    x = 5,401,469.95/2,219.49
  6. Step 6: Final answer
    x = 2,433.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.