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Finding the Fourth Proportional to 2,053, 3,077.96 and 820.04

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Solution

The fourth proportional to 2,053, 3,077.96 and 820.04 is: 1,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053 : 3,077.96 = 820.04 : x
  2. Step 2: Convert to fraction form
    2,053/3,077.96 = 820.04/x
  3. Step 3: Cross multiply
    2,053x = 3,077.96 × 820.04
  4. Step 4: Simplify right side
    2,053x = 2,524,050.32
  5. Step 5: Solve for x
    x = 2,524,050.32/2,053
  6. Step 6: Final answer
    x = 1,229.44

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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.