Home / 1,619.42-2,429.46-523.73

Finding the Fourth Proportional to 1,619.42, 2,429.46 and 523.73

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Solution

The fourth proportional to 1,619.42, 2,429.46 and 523.73 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.42 : 2,429.46 = 523.73 : x
  2. Step 2: Convert to fraction form
    1,619.42/2,429.46 = 523.73/x
  3. Step 3: Cross multiply
    1,619.42x = 2,429.46 × 523.73
  4. Step 4: Simplify right side
    1,619.42x = 1,272,387.16
  5. Step 5: Solve for x
    x = 1,272,387.16/1,619.42
  6. Step 6: Final answer
    x = 785.71

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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.