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Finding the Fourth Proportional to 2,052.70, 3,078.33 and 820.54

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Solution

The fourth proportional to 2,052.70, 3,078.33 and 820.54 is: 1,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.70 : 3,078.33 = 820.54 : x
  2. Step 2: Convert to fraction form
    2,052.70/3,078.33 = 820.54/x
  3. Step 3: Cross multiply
    2,052.70x = 3,078.33 × 820.54
  4. Step 4: Simplify right side
    2,052.70x = 2,525,892.90
  5. Step 5: Solve for x
    x = 2,525,892.90/2,052.70
  6. Step 6: Final answer
    x = 1,230.52

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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.