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Finding the Fourth Proportional to 2,067.76, 3,100.60 and 661.98

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Solution

The fourth proportional to 2,067.76, 3,100.60 and 661.98 is: 992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.76 : 3,100.60 = 661.98 : x
  2. Step 2: Convert to fraction form
    2,067.76/3,100.60 = 661.98/x
  3. Step 3: Cross multiply
    2,067.76x = 3,100.60 × 661.98
  4. Step 4: Simplify right side
    2,067.76x = 2,052,535.19
  5. Step 5: Solve for x
    x = 2,052,535.19/2,067.76
  6. Step 6: Final answer
    x = 992.64

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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.