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Finding the Fourth Proportional to 2,494.22, 3,734.08 and 1,451.04

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Solution

The fourth proportional to 2,494.22, 3,734.08 and 1,451.04 is: 2,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.22 : 3,734.08 = 1,451.04 : x
  2. Step 2: Convert to fraction form
    2,494.22/3,734.08 = 1,451.04/x
  3. Step 3: Cross multiply
    2,494.22x = 3,734.08 × 1,451.04
  4. Step 4: Simplify right side
    2,494.22x = 5,418,289.97
  5. Step 5: Solve for x
    x = 5,418,289.97/2,494.22
  6. Step 6: Final answer
    x = 2,172.34

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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.