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Finding the Fourth Proportional to 2,795.48, 3,857.82 and 1,536.68

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Solution

The fourth proportional to 2,795.48, 3,857.82 and 1,536.68 is: 2,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.48 : 3,857.82 = 1,536.68 : x
  2. Step 2: Convert to fraction form
    2,795.48/3,857.82 = 1,536.68/x
  3. Step 3: Cross multiply
    2,795.48x = 3,857.82 × 1,536.68
  4. Step 4: Simplify right side
    2,795.48x = 5,928,234.84
  5. Step 5: Solve for x
    x = 5,928,234.84/2,795.48
  6. Step 6: Final answer
    x = 2,120.65

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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.