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Finding the Fourth Proportional to 2,458.48, 3,682.84 and 2,150.68

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Solution

The fourth proportional to 2,458.48, 3,682.84 and 2,150.68 is: 3,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.48 : 3,682.84 = 2,150.68 : x
  2. Step 2: Convert to fraction form
    2,458.48/3,682.84 = 2,150.68/x
  3. Step 3: Cross multiply
    2,458.48x = 3,682.84 × 2,150.68
  4. Step 4: Simplify right side
    2,458.48x = 7,920,610.33
  5. Step 5: Solve for x
    x = 7,920,610.33/2,458.48
  6. Step 6: Final answer
    x = 3,221.75

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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.