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Finding the Fourth Proportional to 2,076.87, 2,866.46 and 1,238.06

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Solution

The fourth proportional to 2,076.87, 2,866.46 and 1,238.06 is: 1,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.87 : 2,866.46 = 1,238.06 : x
  2. Step 2: Convert to fraction form
    2,076.87/2,866.46 = 1,238.06/x
  3. Step 3: Cross multiply
    2,076.87x = 2,866.46 × 1,238.06
  4. Step 4: Simplify right side
    2,076.87x = 3,548,850.44
  5. Step 5: Solve for x
    x = 3,548,850.44/2,076.87
  6. Step 6: Final answer
    x = 1,708.75

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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.