Home / 1,426.17-2,138.23-962.80

Finding the Fourth Proportional to 1,426.17, 2,138.23 and 962.80

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Solution

The fourth proportional to 1,426.17, 2,138.23 and 962.80 is: 1,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.17 : 2,138.23 = 962.80 : x
  2. Step 2: Convert to fraction form
    1,426.17/2,138.23 = 962.80/x
  3. Step 3: Cross multiply
    1,426.17x = 2,138.23 × 962.80
  4. Step 4: Simplify right side
    1,426.17x = 2,058,687.84
  5. Step 5: Solve for x
    x = 2,058,687.84/1,426.17
  6. Step 6: Final answer
    x = 1,443.51

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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.