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Finding the Fourth Proportional to 3,082.67, 4,624.50 and 1,696.65

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Solution

The fourth proportional to 3,082.67, 4,624.50 and 1,696.65 is: 2,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.67 : 4,624.50 = 1,696.65 : x
  2. Step 2: Convert to fraction form
    3,082.67/4,624.50 = 1,696.65/x
  3. Step 3: Cross multiply
    3,082.67x = 4,624.50 × 1,696.65
  4. Step 4: Simplify right side
    3,082.67x = 7,846,157.93
  5. Step 5: Solve for x
    x = 7,846,157.93/3,082.67
  6. Step 6: Final answer
    x = 2,545.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.