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Finding the Fourth Proportional to 2,795.75, 3,858.17 and 1,536.86

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Solution

The fourth proportional to 2,795.75, 3,858.17 and 1,536.86 is: 2,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.75 : 3,858.17 = 1,536.86 : x
  2. Step 2: Convert to fraction form
    2,795.75/3,858.17 = 1,536.86/x
  3. Step 3: Cross multiply
    2,795.75x = 3,858.17 × 1,536.86
  4. Step 4: Simplify right side
    2,795.75x = 5,929,451.70
  5. Step 5: Solve for x
    x = 5,929,451.70/2,795.75
  6. Step 6: Final answer
    x = 2,120.88

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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.