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Finding the Fourth Proportional to 2,032.49, 3,049.99 and 799.69

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Solution

The fourth proportional to 2,032.49, 3,049.99 and 799.69 is: 1,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.49 : 3,049.99 = 799.69 : x
  2. Step 2: Convert to fraction form
    2,032.49/3,049.99 = 799.69/x
  3. Step 3: Cross multiply
    2,032.49x = 3,049.99 × 799.69
  4. Step 4: Simplify right side
    2,032.49x = 2,439,046.50
  5. Step 5: Solve for x
    x = 2,439,046.50/2,032.49
  6. Step 6: Final answer
    x = 1,200.03

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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.