Home / 1,828.44-2,740.26-1,593

Finding the Fourth Proportional to 1,828.44, 2,740.26 and 1,593

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Solution

The fourth proportional to 1,828.44, 2,740.26 and 1,593 is: 2,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.44 : 2,740.26 = 1,593 : x
  2. Step 2: Convert to fraction form
    1,828.44/2,740.26 = 1,593/x
  3. Step 3: Cross multiply
    1,828.44x = 2,740.26 × 1,593
  4. Step 4: Simplify right side
    1,828.44x = 4,365,234.18
  5. Step 5: Solve for x
    x = 4,365,234.18/1,828.44
  6. Step 6: Final answer
    x = 2,387.41

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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.