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Finding the Fourth Proportional to 2,800.23, 4,199.84 and 825.45

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Solution

The fourth proportional to 2,800.23, 4,199.84 and 825.45 is: 1,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.23 : 4,199.84 = 825.45 : x
  2. Step 2: Convert to fraction form
    2,800.23/4,199.84 = 825.45/x
  3. Step 3: Cross multiply
    2,800.23x = 4,199.84 × 825.45
  4. Step 4: Simplify right side
    2,800.23x = 3,466,753.80
  5. Step 5: Solve for x
    x = 3,466,753.80/2,800.23
  6. Step 6: Final answer
    x = 1,238.02

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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.