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Finding the Fourth Proportional to 2,067.99, 3,094.77 and 1,693.47

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Solution

The fourth proportional to 2,067.99, 3,094.77 and 1,693.47 is: 2,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.99 : 3,094.77 = 1,693.47 : x
  2. Step 2: Convert to fraction form
    2,067.99/3,094.77 = 1,693.47/x
  3. Step 3: Cross multiply
    2,067.99x = 3,094.77 × 1,693.47
  4. Step 4: Simplify right side
    2,067.99x = 5,240,900.15
  5. Step 5: Solve for x
    x = 5,240,900.15/2,067.99
  6. Step 6: Final answer
    x = 2,534.30

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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.