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Finding the Fourth Proportional to 2,454.80, 3,676.80 and 2,022.80

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Solution

The fourth proportional to 2,454.80, 3,676.80 and 2,022.80 is: 3,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.80 : 3,676.80 = 2,022.80 : x
  2. Step 2: Convert to fraction form
    2,454.80/3,676.80 = 2,022.80/x
  3. Step 3: Cross multiply
    2,454.80x = 3,676.80 × 2,022.80
  4. Step 4: Simplify right side
    2,454.80x = 7,437,431.04
  5. Step 5: Solve for x
    x = 7,437,431.04/2,454.80
  6. Step 6: Final answer
    x = 3,029.75

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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.