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Finding the Fourth Proportional to 2,052.51, 3,067.87 and 1,786.90

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Solution

The fourth proportional to 2,052.51, 3,067.87 and 1,786.90 is: 2,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.51 : 3,067.87 = 1,786.90 : x
  2. Step 2: Convert to fraction form
    2,052.51/3,067.87 = 1,786.90/x
  3. Step 3: Cross multiply
    2,052.51x = 3,067.87 × 1,786.90
  4. Step 4: Simplify right side
    2,052.51x = 5,481,976.90
  5. Step 5: Solve for x
    x = 5,481,976.90/2,052.51
  6. Step 6: Final answer
    x = 2,670.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.