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Finding the Fourth Proportional to 2,450.80, 3,676.20 and 1,298.80

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Solution

The fourth proportional to 2,450.80, 3,676.20 and 1,298.80 is: 1,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.80 : 3,676.20 = 1,298.80 : x
  2. Step 2: Convert to fraction form
    2,450.80/3,676.20 = 1,298.80/x
  3. Step 3: Cross multiply
    2,450.80x = 3,676.20 × 1,298.80
  4. Step 4: Simplify right side
    2,450.80x = 4,774,648.56
  5. Step 5: Solve for x
    x = 4,774,648.56/2,450.80
  6. Step 6: Final answer
    x = 1,948.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.