Home / 2,824.27-3,897.25-1,645.45

Finding the Fourth Proportional to 2,824.27, 3,897.25 and 1,645.45

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Solution

The fourth proportional to 2,824.27, 3,897.25 and 1,645.45 is: 2,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.27 : 3,897.25 = 1,645.45 : x
  2. Step 2: Convert to fraction form
    2,824.27/3,897.25 = 1,645.45/x
  3. Step 3: Cross multiply
    2,824.27x = 3,897.25 × 1,645.45
  4. Step 4: Simplify right side
    2,824.27x = 6,412,716.16
  5. Step 5: Solve for x
    x = 6,412,716.16/2,824.27
  6. Step 6: Final answer
    x = 2,270.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.