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Finding the Fourth Proportional to 2,270.73, 3,133.97 and 2,122.50

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Solution

The fourth proportional to 2,270.73, 3,133.97 and 2,122.50 is: 2,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.73 : 3,133.97 = 2,122.50 : x
  2. Step 2: Convert to fraction form
    2,270.73/3,133.97 = 2,122.50/x
  3. Step 3: Cross multiply
    2,270.73x = 3,133.97 × 2,122.50
  4. Step 4: Simplify right side
    2,270.73x = 6,651,851.33
  5. Step 5: Solve for x
    x = 6,651,851.33/2,270.73
  6. Step 6: Final answer
    x = 2,929.39

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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.