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Finding the Fourth Proportional to 2,967.82, 4,452.03 and 1,120.49

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Solution

The fourth proportional to 2,967.82, 4,452.03 and 1,120.49 is: 1,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.82 : 4,452.03 = 1,120.49 : x
  2. Step 2: Convert to fraction form
    2,967.82/4,452.03 = 1,120.49/x
  3. Step 3: Cross multiply
    2,967.82x = 4,452.03 × 1,120.49
  4. Step 4: Simplify right side
    2,967.82x = 4,988,453.73
  5. Step 5: Solve for x
    x = 4,988,453.73/2,967.82
  6. Step 6: Final answer
    x = 1,680.85

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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.