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Finding the Fourth Proportional to 2,115.58, 3,167.97 and 1,467.58

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Solution

The fourth proportional to 2,115.58, 3,167.97 and 1,467.58 is: 2,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.58 : 3,167.97 = 1,467.58 : x
  2. Step 2: Convert to fraction form
    2,115.58/3,167.97 = 1,467.58/x
  3. Step 3: Cross multiply
    2,115.58x = 3,167.97 × 1,467.58
  4. Step 4: Simplify right side
    2,115.58x = 4,649,249.41
  5. Step 5: Solve for x
    x = 4,649,249.41/2,115.58
  6. Step 6: Final answer
    x = 2,197.62

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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.