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Finding the Fourth Proportional to 2,033.49, 3,051.50 and 800.69

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Solution

The fourth proportional to 2,033.49, 3,051.50 and 800.69 is: 1,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.49 : 3,051.50 = 800.69 : x
  2. Step 2: Convert to fraction form
    2,033.49/3,051.50 = 800.69/x
  3. Step 3: Cross multiply
    2,033.49x = 3,051.50 × 800.69
  4. Step 4: Simplify right side
    2,033.49x = 2,443,286.27
  5. Step 5: Solve for x
    x = 2,443,286.27/2,033.49
  6. Step 6: Final answer
    x = 1,201.52

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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.