Home / 2,056.06-3,083.13-822.43

Finding the Fourth Proportional to 2,056.06, 3,083.13 and 822.43

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Solution

The fourth proportional to 2,056.06, 3,083.13 and 822.43 is: 1,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.06 : 3,083.13 = 822.43 : x
  2. Step 2: Convert to fraction form
    2,056.06/3,083.13 = 822.43/x
  3. Step 3: Cross multiply
    2,056.06x = 3,083.13 × 822.43
  4. Step 4: Simplify right side
    2,056.06x = 2,535,658.61
  5. Step 5: Solve for x
    x = 2,535,658.61/2,056.06
  6. Step 6: Final answer
    x = 1,233.26

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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.