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Finding the Fourth Proportional to 2,408.96, 3,592.54 and 2,175.68

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Solution

The fourth proportional to 2,408.96, 3,592.54 and 2,175.68 is: 3,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.96 : 3,592.54 = 2,175.68 : x
  2. Step 2: Convert to fraction form
    2,408.96/3,592.54 = 2,175.68/x
  3. Step 3: Cross multiply
    2,408.96x = 3,592.54 × 2,175.68
  4. Step 4: Simplify right side
    2,408.96x = 7,816,217.43
  5. Step 5: Solve for x
    x = 7,816,217.43/2,408.96
  6. Step 6: Final answer
    x = 3,244.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.