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Finding the Fourth Proportional to 2,127.75, 2,934.20 and 2,004.73

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Solution

The fourth proportional to 2,127.75, 2,934.20 and 2,004.73 is: 2,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.75 : 2,934.20 = 2,004.73 : x
  2. Step 2: Convert to fraction form
    2,127.75/2,934.20 = 2,004.73/x
  3. Step 3: Cross multiply
    2,127.75x = 2,934.20 × 2,004.73
  4. Step 4: Simplify right side
    2,127.75x = 5,882,273.75
  5. Step 5: Solve for x
    x = 5,882,273.75/2,127.75
  6. Step 6: Final answer
    x = 2,764.55

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