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Finding the Fourth Proportional to 3,322.78, 4,584.26 and 1,996

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Solution

The fourth proportional to 3,322.78, 4,584.26 and 1,996 is: 2,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.78 : 4,584.26 = 1,996 : x
  2. Step 2: Convert to fraction form
    3,322.78/4,584.26 = 1,996/x
  3. Step 3: Cross multiply
    3,322.78x = 4,584.26 × 1,996
  4. Step 4: Simplify right side
    3,322.78x = 9,150,182.96
  5. Step 5: Solve for x
    x = 9,150,182.96/3,322.78
  6. Step 6: Final answer
    x = 2,753.77

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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.