Home / 1,352.14-2,028.21-378.22

Finding the Fourth Proportional to 1,352.14, 2,028.21 and 378.22

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Solution

The fourth proportional to 1,352.14, 2,028.21 and 378.22 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.14 : 2,028.21 = 378.22 : x
  2. Step 2: Convert to fraction form
    1,352.14/2,028.21 = 378.22/x
  3. Step 3: Cross multiply
    1,352.14x = 2,028.21 × 378.22
  4. Step 4: Simplify right side
    1,352.14x = 767,109.59
  5. Step 5: Solve for x
    x = 767,109.59/1,352.14
  6. Step 6: Final answer
    x = 567.33

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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.