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Finding the Fourth Proportional to 2,452.05, 3,676.82 and 720.45

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Solution

The fourth proportional to 2,452.05, 3,676.82 and 720.45 is: 1,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.05 : 3,676.82 = 720.45 : x
  2. Step 2: Convert to fraction form
    2,452.05/3,676.82 = 720.45/x
  3. Step 3: Cross multiply
    2,452.05x = 3,676.82 × 720.45
  4. Step 4: Simplify right side
    2,452.05x = 2,648,961.37
  5. Step 5: Solve for x
    x = 2,648,961.37/2,452.05
  6. Step 6: Final answer
    x = 1,080.30

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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.