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Finding the Fourth Proportional to 3,322.00, 4,584.31 and 1,905.63

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Solution

The fourth proportional to 3,322.00, 4,584.31 and 1,905.63 is: 2,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.00 : 4,584.31 = 1,905.63 : x
  2. Step 2: Convert to fraction form
    3,322.00/4,584.31 = 1,905.63/x
  3. Step 3: Cross multiply
    3,322.00x = 4,584.31 × 1,905.63
  4. Step 4: Simplify right side
    3,322.00x = 8,735,989.59
  5. Step 5: Solve for x
    x = 8,735,989.59/3,322.00
  6. Step 6: Final answer
    x = 2,629.74

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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.