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Finding the Fourth Proportional to 2,786.88, 4,180.94 and 1,305

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Solution

The fourth proportional to 2,786.88, 4,180.94 and 1,305 is: 1,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.88 : 4,180.94 = 1,305 : x
  2. Step 2: Convert to fraction form
    2,786.88/4,180.94 = 1,305/x
  3. Step 3: Cross multiply
    2,786.88x = 4,180.94 × 1,305
  4. Step 4: Simplify right side
    2,786.88x = 5,456,126.70
  5. Step 5: Solve for x
    x = 5,456,126.70/2,786.88
  6. Step 6: Final answer
    x = 1,957.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.