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Finding the Fourth Proportional to 2,033.50, 3,050.38 and 665.50

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Solution

The fourth proportional to 2,033.50, 3,050.38 and 665.50 is: 998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.50 : 3,050.38 = 665.50 : x
  2. Step 2: Convert to fraction form
    2,033.50/3,050.38 = 665.50/x
  3. Step 3: Cross multiply
    2,033.50x = 3,050.38 × 665.50
  4. Step 4: Simplify right side
    2,033.50x = 2,030,027.89
  5. Step 5: Solve for x
    x = 2,030,027.89/2,033.50
  6. Step 6: Final answer
    x = 998.29

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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.