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Finding the Fourth Proportional to 2,967.57, 4,451.22 and 1,408.32

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Solution

The fourth proportional to 2,967.57, 4,451.22 and 1,408.32 is: 2,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.57 : 4,451.22 = 1,408.32 : x
  2. Step 2: Convert to fraction form
    2,967.57/4,451.22 = 1,408.32/x
  3. Step 3: Cross multiply
    2,967.57x = 4,451.22 × 1,408.32
  4. Step 4: Simplify right side
    2,967.57x = 6,268,742.15
  5. Step 5: Solve for x
    x = 6,268,742.15/2,967.57
  6. Step 6: Final answer
    x = 2,112.42

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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.