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Finding the Fourth Proportional to 2,002.62, 3,003.93 and 1,231.50

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Solution

The fourth proportional to 2,002.62, 3,003.93 and 1,231.50 is: 1,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.62 : 3,003.93 = 1,231.50 : x
  2. Step 2: Convert to fraction form
    2,002.62/3,003.93 = 1,231.50/x
  3. Step 3: Cross multiply
    2,002.62x = 3,003.93 × 1,231.50
  4. Step 4: Simplify right side
    2,002.62x = 3,699,339.80
  5. Step 5: Solve for x
    x = 3,699,339.80/2,002.62
  6. Step 6: Final answer
    x = 1,847.25

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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.