Home / 1,824-2,517.12-1,125.96

Finding the Fourth Proportional to 1,824, 2,517.12 and 1,125.96

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Solution

The fourth proportional to 1,824, 2,517.12 and 1,125.96 is: 1,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824 : 2,517.12 = 1,125.96 : x
  2. Step 2: Convert to fraction form
    1,824/2,517.12 = 1,125.96/x
  3. Step 3: Cross multiply
    1,824x = 2,517.12 × 1,125.96
  4. Step 4: Simplify right side
    1,824x = 2,834,176.44
  5. Step 5: Solve for x
    x = 2,834,176.44/1,824
  6. Step 6: Final answer
    x = 1,553.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.