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Finding the Fourth Proportional to 2,081.66, 2,857.64 and 1,786.41

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Solution

The fourth proportional to 2,081.66, 2,857.64 and 1,786.41 is: 2,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.66 : 2,857.64 = 1,786.41 : x
  2. Step 2: Convert to fraction form
    2,081.66/2,857.64 = 1,786.41/x
  3. Step 3: Cross multiply
    2,081.66x = 2,857.64 × 1,786.41
  4. Step 4: Simplify right side
    2,081.66x = 5,104,907.74
  5. Step 5: Solve for x
    x = 5,104,907.74/2,081.66
  6. Step 6: Final answer
    x = 2,452.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.