Home / 1,486.26-2,050.96-823.06

Finding the Fourth Proportional to 1,486.26, 2,050.96 and 823.06

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Solution

The fourth proportional to 1,486.26, 2,050.96 and 823.06 is: 1,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.26 : 2,050.96 = 823.06 : x
  2. Step 2: Convert to fraction form
    1,486.26/2,050.96 = 823.06/x
  3. Step 3: Cross multiply
    1,486.26x = 2,050.96 × 823.06
  4. Step 4: Simplify right side
    1,486.26x = 1,688,063.14
  5. Step 5: Solve for x
    x = 1,688,063.14/1,486.26
  6. Step 6: Final answer
    x = 1,135.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.