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Finding the Fourth Proportional to 1,540.72, 2,311.62 and 674.92

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Solution

The fourth proportional to 1,540.72, 2,311.62 and 674.92 is: 1,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.72 : 2,311.62 = 674.92 : x
  2. Step 2: Convert to fraction form
    1,540.72/2,311.62 = 674.92/x
  3. Step 3: Cross multiply
    1,540.72x = 2,311.62 × 674.92
  4. Step 4: Simplify right side
    1,540.72x = 1,560,158.57
  5. Step 5: Solve for x
    x = 1,560,158.57/1,540.72
  6. Step 6: Final answer
    x = 1,012.62

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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.