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Finding the Fourth Proportional to 4,604.65, 6,902.69 and 1,680.75

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Solution

The fourth proportional to 4,604.65, 6,902.69 and 1,680.75 is: 2,519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.65 : 6,902.69 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    4,604.65/6,902.69 = 1,680.75/x
  3. Step 3: Cross multiply
    4,604.65x = 6,902.69 × 1,680.75
  4. Step 4: Simplify right side
    4,604.65x = 11,601,687.81
  5. Step 5: Solve for x
    x = 11,601,687.81/4,604.65
  6. Step 6: Final answer
    x = 2,519.56

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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.