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Finding the Fourth Proportional to 2,205.96, 3,043.08 and 1,321.44

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Solution

The fourth proportional to 2,205.96, 3,043.08 and 1,321.44 is: 1,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.96 : 3,043.08 = 1,321.44 : x
  2. Step 2: Convert to fraction form
    2,205.96/3,043.08 = 1,321.44/x
  3. Step 3: Cross multiply
    2,205.96x = 3,043.08 × 1,321.44
  4. Step 4: Simplify right side
    2,205.96x = 4,021,247.64
  5. Step 5: Solve for x
    x = 4,021,247.64/2,205.96
  6. Step 6: Final answer
    x = 1,822.90

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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.