Home / 1,619.70-2,429.04-523.86

Finding the Fourth Proportional to 1,619.70, 2,429.04 and 523.86

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Solution

The fourth proportional to 1,619.70, 2,429.04 and 523.86 is: 785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.70 : 2,429.04 = 523.86 : x
  2. Step 2: Convert to fraction form
    1,619.70/2,429.04 = 523.86/x
  3. Step 3: Cross multiply
    1,619.70x = 2,429.04 × 523.86
  4. Step 4: Simplify right side
    1,619.70x = 1,272,476.89
  5. Step 5: Solve for x
    x = 1,272,476.89/1,619.70
  6. Step 6: Final answer
    x = 785.63

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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.