Home / 1,426.25-2,135.25-962.43

Finding the Fourth Proportional to 1,426.25, 2,135.25 and 962.43

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Solution

The fourth proportional to 1,426.25, 2,135.25 and 962.43 is: 1,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.25 : 2,135.25 = 962.43 : x
  2. Step 2: Convert to fraction form
    1,426.25/2,135.25 = 962.43/x
  3. Step 3: Cross multiply
    1,426.25x = 2,135.25 × 962.43
  4. Step 4: Simplify right side
    1,426.25x = 2,055,028.66
  5. Step 5: Solve for x
    x = 2,055,028.66/1,426.25
  6. Step 6: Final answer
    x = 1,440.87

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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.