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Finding the Fourth Proportional to 2,171.90, 3,249.48 and 1,826.30

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Solution

The fourth proportional to 2,171.90, 3,249.48 and 1,826.30 is: 2,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.90 : 3,249.48 = 1,826.30 : x
  2. Step 2: Convert to fraction form
    2,171.90/3,249.48 = 1,826.30/x
  3. Step 3: Cross multiply
    2,171.90x = 3,249.48 × 1,826.30
  4. Step 4: Simplify right side
    2,171.90x = 5,934,525.32
  5. Step 5: Solve for x
    x = 5,934,525.32/2,171.90
  6. Step 6: Final answer
    x = 2,732.41

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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.