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Finding the Fourth Proportional to 2,821.50, 4,233.23 and 1,782.23

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Solution

The fourth proportional to 2,821.50, 4,233.23 and 1,782.23 is: 2,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.50 : 4,233.23 = 1,782.23 : x
  2. Step 2: Convert to fraction form
    2,821.50/4,233.23 = 1,782.23/x
  3. Step 3: Cross multiply
    2,821.50x = 4,233.23 × 1,782.23
  4. Step 4: Simplify right side
    2,821.50x = 7,544,559.43
  5. Step 5: Solve for x
    x = 7,544,559.43/2,821.50
  6. Step 6: Final answer
    x = 2,673.95

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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.