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Finding the Fourth Proportional to 1,768.36, 2,634.77 and 1,669

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Solution

The fourth proportional to 1,768.36, 2,634.77 and 1,669 is: 2,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.36 : 2,634.77 = 1,669 : x
  2. Step 2: Convert to fraction form
    1,768.36/2,634.77 = 1,669/x
  3. Step 3: Cross multiply
    1,768.36x = 2,634.77 × 1,669
  4. Step 4: Simplify right side
    1,768.36x = 4,397,431.13
  5. Step 5: Solve for x
    x = 4,397,431.13/1,768.36
  6. Step 6: Final answer
    x = 2,486.73

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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.