Home / 2,067.27-3,101.58-971.75

Finding the Fourth Proportional to 2,067.27, 3,101.58 and 971.75

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Solution

The fourth proportional to 2,067.27, 3,101.58 and 971.75 is: 1,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.27 : 3,101.58 = 971.75 : x
  2. Step 2: Convert to fraction form
    2,067.27/3,101.58 = 971.75/x
  3. Step 3: Cross multiply
    2,067.27x = 3,101.58 × 971.75
  4. Step 4: Simplify right side
    2,067.27x = 3,013,944.86
  5. Step 5: Solve for x
    x = 3,013,944.86/2,067.27
  6. Step 6: Final answer
    x = 1,457.93

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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.