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Finding the Fourth Proportional to 2,967.73, 4,451.69 and 1,118.41

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Solution

The fourth proportional to 2,967.73, 4,451.69 and 1,118.41 is: 1,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.73 : 4,451.69 = 1,118.41 : x
  2. Step 2: Convert to fraction form
    2,967.73/4,451.69 = 1,118.41/x
  3. Step 3: Cross multiply
    2,967.73x = 4,451.69 × 1,118.41
  4. Step 4: Simplify right side
    2,967.73x = 4,978,806.28
  5. Step 5: Solve for x
    x = 4,978,806.28/2,967.73
  6. Step 6: Final answer
    x = 1,677.65

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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.