Home / 1,821.96-2,732.70-523.56

Finding the Fourth Proportional to 1,821.96, 2,732.70 and 523.56

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Solution

The fourth proportional to 1,821.96, 2,732.70 and 523.56 is: 785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.96 : 2,732.70 = 523.56 : x
  2. Step 2: Convert to fraction form
    1,821.96/2,732.70 = 523.56/x
  3. Step 3: Cross multiply
    1,821.96x = 2,732.70 × 523.56
  4. Step 4: Simplify right side
    1,821.96x = 1,430,732.41
  5. Step 5: Solve for x
    x = 1,430,732.41/1,821.96
  6. Step 6: Final answer
    x = 785.27

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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.