Home / 2,028.48-3,022.32-1,896

Finding the Fourth Proportional to 2,028.48, 3,022.32 and 1,896

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Solution

The fourth proportional to 2,028.48, 3,022.32 and 1,896 is: 2,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.48 : 3,022.32 = 1,896 : x
  2. Step 2: Convert to fraction form
    2,028.48/3,022.32 = 1,896/x
  3. Step 3: Cross multiply
    2,028.48x = 3,022.32 × 1,896
  4. Step 4: Simplify right side
    2,028.48x = 5,730,318.72
  5. Step 5: Solve for x
    x = 5,730,318.72/2,028.48
  6. Step 6: Final answer
    x = 2,824.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.