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Finding the Fourth Proportional to 3,270.25, 4,512.99 and 1,873

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Solution

The fourth proportional to 3,270.25, 4,512.99 and 1,873 is: 2,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.25 : 4,512.99 = 1,873 : x
  2. Step 2: Convert to fraction form
    3,270.25/4,512.99 = 1,873/x
  3. Step 3: Cross multiply
    3,270.25x = 4,512.99 × 1,873
  4. Step 4: Simplify right side
    3,270.25x = 8,452,830.27
  5. Step 5: Solve for x
    x = 8,452,830.27/3,270.25
  6. Step 6: Final answer
    x = 2,584.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.