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Finding the Fourth Proportional to 2,287.82, 3,431.16 and 881.96

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Solution

The fourth proportional to 2,287.82, 3,431.16 and 881.96 is: 1,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.82 : 3,431.16 = 881.96 : x
  2. Step 2: Convert to fraction form
    2,287.82/3,431.16 = 881.96/x
  3. Step 3: Cross multiply
    2,287.82x = 3,431.16 × 881.96
  4. Step 4: Simplify right side
    2,287.82x = 3,026,128.72
  5. Step 5: Solve for x
    x = 3,026,128.72/2,287.82
  6. Step 6: Final answer
    x = 1,322.71

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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.