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Finding the Fourth Proportional to 2,272.60, 3,408.90 and 1,448.43

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Solution

The fourth proportional to 2,272.60, 3,408.90 and 1,448.43 is: 2,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.60 : 3,408.90 = 1,448.43 : x
  2. Step 2: Convert to fraction form
    2,272.60/3,408.90 = 1,448.43/x
  3. Step 3: Cross multiply
    2,272.60x = 3,408.90 × 1,448.43
  4. Step 4: Simplify right side
    2,272.60x = 4,937,553.03
  5. Step 5: Solve for x
    x = 4,937,553.03/2,272.60
  6. Step 6: Final answer
    x = 2,172.65

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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.