Home / 1,821.85-2,732.79-523.36

Finding the Fourth Proportional to 1,821.85, 2,732.79 and 523.36

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Solution

The fourth proportional to 1,821.85, 2,732.79 and 523.36 is: 785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.85 : 2,732.79 = 523.36 : x
  2. Step 2: Convert to fraction form
    1,821.85/2,732.79 = 523.36/x
  3. Step 3: Cross multiply
    1,821.85x = 2,732.79 × 523.36
  4. Step 4: Simplify right side
    1,821.85x = 1,430,232.97
  5. Step 5: Solve for x
    x = 1,430,232.97/1,821.85
  6. Step 6: Final answer
    x = 785.04

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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.