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Finding the Fourth Proportional to 3,236.86, 4,467.14 and 1,820.88

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Solution

The fourth proportional to 3,236.86, 4,467.14 and 1,820.88 is: 2,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.86 : 4,467.14 = 1,820.88 : x
  2. Step 2: Convert to fraction form
    3,236.86/4,467.14 = 1,820.88/x
  3. Step 3: Cross multiply
    3,236.86x = 4,467.14 × 1,820.88
  4. Step 4: Simplify right side
    3,236.86x = 8,134,125.88
  5. Step 5: Solve for x
    x = 8,134,125.88/3,236.86
  6. Step 6: Final answer
    x = 2,512.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.