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Finding the Fourth Proportional to 2,205.97, 3,303.89 and 1,279.23

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Solution

The fourth proportional to 2,205.97, 3,303.89 and 1,279.23 is: 1,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.97 : 3,303.89 = 1,279.23 : x
  2. Step 2: Convert to fraction form
    2,205.97/3,303.89 = 1,279.23/x
  3. Step 3: Cross multiply
    2,205.97x = 3,303.89 × 1,279.23
  4. Step 4: Simplify right side
    2,205.97x = 4,226,421.22
  5. Step 5: Solve for x
    x = 4,226,421.22/2,205.97
  6. Step 6: Final answer
    x = 1,915.90

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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.