Home / 2,055.96-3,083.70-823.32

Finding the Fourth Proportional to 2,055.96, 3,083.70 and 823.32

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Solution

The fourth proportional to 2,055.96, 3,083.70 and 823.32 is: 1,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.96 : 3,083.70 = 823.32 : x
  2. Step 2: Convert to fraction form
    2,055.96/3,083.70 = 823.32/x
  3. Step 3: Cross multiply
    2,055.96x = 3,083.70 × 823.32
  4. Step 4: Simplify right side
    2,055.96x = 2,538,871.88
  5. Step 5: Solve for x
    x = 2,538,871.88/2,055.96
  6. Step 6: Final answer
    x = 1,234.88

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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.