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Finding the Fourth Proportional to 2,135.62, 3,201.54 and 1,162.54

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Solution

The fourth proportional to 2,135.62, 3,201.54 and 1,162.54 is: 1,742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.62 : 3,201.54 = 1,162.54 : x
  2. Step 2: Convert to fraction form
    2,135.62/3,201.54 = 1,162.54/x
  3. Step 3: Cross multiply
    2,135.62x = 3,201.54 × 1,162.54
  4. Step 4: Simplify right side
    2,135.62x = 3,721,918.31
  5. Step 5: Solve for x
    x = 3,721,918.31/2,135.62
  6. Step 6: Final answer
    x = 1,742.78

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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.