Home / 2,022.75-3,034.26-868.50

Finding the Fourth Proportional to 2,022.75, 3,034.26 and 868.50

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Solution

The fourth proportional to 2,022.75, 3,034.26 and 868.50 is: 1,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.75 : 3,034.26 = 868.50 : x
  2. Step 2: Convert to fraction form
    2,022.75/3,034.26 = 868.50/x
  3. Step 3: Cross multiply
    2,022.75x = 3,034.26 × 868.50
  4. Step 4: Simplify right side
    2,022.75x = 2,635,254.81
  5. Step 5: Solve for x
    x = 2,635,254.81/2,022.75
  6. Step 6: Final answer
    x = 1,302.81

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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.