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Finding the Fourth Proportional to 2,361.26, 3,537.84 and 2,155.52

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Solution

The fourth proportional to 2,361.26, 3,537.84 and 2,155.52 is: 3,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.26 : 3,537.84 = 2,155.52 : x
  2. Step 2: Convert to fraction form
    2,361.26/3,537.84 = 2,155.52/x
  3. Step 3: Cross multiply
    2,361.26x = 3,537.84 × 2,155.52
  4. Step 4: Simplify right side
    2,361.26x = 7,625,884.88
  5. Step 5: Solve for x
    x = 7,625,884.88/2,361.26
  6. Step 6: Final answer
    x = 3,229.58

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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.