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Finding the Fourth Proportional to 3,205.04, 4,806.96 and 1,473.24

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Solution

The fourth proportional to 3,205.04, 4,806.96 and 1,473.24 is: 2,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.04 : 4,806.96 = 1,473.24 : x
  2. Step 2: Convert to fraction form
    3,205.04/4,806.96 = 1,473.24/x
  3. Step 3: Cross multiply
    3,205.04x = 4,806.96 × 1,473.24
  4. Step 4: Simplify right side
    3,205.04x = 7,081,805.75
  5. Step 5: Solve for x
    x = 7,081,805.75/3,205.04
  6. Step 6: Final answer
    x = 2,209.58

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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.