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Finding the Fourth Proportional to 2,205.81, 3,043.89 and 1,321.65

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Solution

The fourth proportional to 2,205.81, 3,043.89 and 1,321.65 is: 1,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.81 : 3,043.89 = 1,321.65 : x
  2. Step 2: Convert to fraction form
    2,205.81/3,043.89 = 1,321.65/x
  3. Step 3: Cross multiply
    2,205.81x = 3,043.89 × 1,321.65
  4. Step 4: Simplify right side
    2,205.81x = 4,022,957.22
  5. Step 5: Solve for x
    x = 4,022,957.22/2,205.81
  6. Step 6: Final answer
    x = 1,823.80

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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.