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Finding the Fourth Proportional to 1,832.90, 2,751.64 and 1,467.25

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Solution

The fourth proportional to 1,832.90, 2,751.64 and 1,467.25 is: 2,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.90 : 2,751.64 = 1,467.25 : x
  2. Step 2: Convert to fraction form
    1,832.90/2,751.64 = 1,467.25/x
  3. Step 3: Cross multiply
    1,832.90x = 2,751.64 × 1,467.25
  4. Step 4: Simplify right side
    1,832.90x = 4,037,333.24
  5. Step 5: Solve for x
    x = 4,037,333.24/1,832.90
  6. Step 6: Final answer
    x = 2,202.71

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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.