Home / 1,584.35-2,375.10-610.22

Finding the Fourth Proportional to 1,584.35, 2,375.10 and 610.22

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Solution

The fourth proportional to 1,584.35, 2,375.10 and 610.22 is: 914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.35 : 2,375.10 = 610.22 : x
  2. Step 2: Convert to fraction form
    1,584.35/2,375.10 = 610.22/x
  3. Step 3: Cross multiply
    1,584.35x = 2,375.10 × 610.22
  4. Step 4: Simplify right side
    1,584.35x = 1,449,333.52
  5. Step 5: Solve for x
    x = 1,449,333.52/1,584.35
  6. Step 6: Final answer
    x = 914.78

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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.