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Finding the Fourth Proportional to 2,053.96, 3,081 and 822.04

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Solution

The fourth proportional to 2,053.96, 3,081 and 822.04 is: 1,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.96 : 3,081 = 822.04 : x
  2. Step 2: Convert to fraction form
    2,053.96/3,081 = 822.04/x
  3. Step 3: Cross multiply
    2,053.96x = 3,081 × 822.04
  4. Step 4: Simplify right side
    2,053.96x = 2,532,705.24
  5. Step 5: Solve for x
    x = 2,532,705.24/2,053.96
  6. Step 6: Final answer
    x = 1,233.08

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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.