Home / 2,001.27-2,998.14-767.84

Finding the Fourth Proportional to 2,001.27, 2,998.14 and 767.84

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Solution

The fourth proportional to 2,001.27, 2,998.14 and 767.84 is: 1,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.27 : 2,998.14 = 767.84 : x
  2. Step 2: Convert to fraction form
    2,001.27/2,998.14 = 767.84/x
  3. Step 3: Cross multiply
    2,001.27x = 2,998.14 × 767.84
  4. Step 4: Simplify right side
    2,001.27x = 2,302,091.82
  5. Step 5: Solve for x
    x = 2,302,091.82/2,001.27
  6. Step 6: Final answer
    x = 1,150.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.