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Finding the Fourth Proportional to 2,033.39, 3,049.47 and 800.51

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Solution

The fourth proportional to 2,033.39, 3,049.47 and 800.51 is: 1,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.39 : 3,049.47 = 800.51 : x
  2. Step 2: Convert to fraction form
    2,033.39/3,049.47 = 800.51/x
  3. Step 3: Cross multiply
    2,033.39x = 3,049.47 × 800.51
  4. Step 4: Simplify right side
    2,033.39x = 2,441,115.98
  5. Step 5: Solve for x
    x = 2,441,115.98/2,033.39
  6. Step 6: Final answer
    x = 1,200.52

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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.