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Finding the Fourth Proportional to 3,204.67, 4,808.54 and 1,450.91

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Solution

The fourth proportional to 3,204.67, 4,808.54 and 1,450.91 is: 2,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.67 : 4,808.54 = 1,450.91 : x
  2. Step 2: Convert to fraction form
    3,204.67/4,808.54 = 1,450.91/x
  3. Step 3: Cross multiply
    3,204.67x = 4,808.54 × 1,450.91
  4. Step 4: Simplify right side
    3,204.67x = 6,976,751.52
  5. Step 5: Solve for x
    x = 6,976,751.52/3,204.67
  6. Step 6: Final answer
    x = 2,177.06

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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.