Home / 2,056.09-3,083.42-823.18

Finding the Fourth Proportional to 2,056.09, 3,083.42 and 823.18

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Solution

The fourth proportional to 2,056.09, 3,083.42 and 823.18 is: 1,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.09 : 3,083.42 = 823.18 : x
  2. Step 2: Convert to fraction form
    2,056.09/3,083.42 = 823.18/x
  3. Step 3: Cross multiply
    2,056.09x = 3,083.42 × 823.18
  4. Step 4: Simplify right side
    2,056.09x = 2,538,209.68
  5. Step 5: Solve for x
    x = 2,538,209.68/2,056.09
  6. Step 6: Final answer
    x = 1,234.48

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1.5x scale

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.