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Finding the Fourth Proportional to 1,540.54, 2,311.32 and 662.64

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Solution

The fourth proportional to 1,540.54, 2,311.32 and 662.64 is: 994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.54 : 2,311.32 = 662.64 : x
  2. Step 2: Convert to fraction form
    1,540.54/2,311.32 = 662.64/x
  3. Step 3: Cross multiply
    1,540.54x = 2,311.32 × 662.64
  4. Step 4: Simplify right side
    1,540.54x = 1,531,573.08
  5. Step 5: Solve for x
    x = 1,531,573.08/1,540.54
  6. Step 6: Final answer
    x = 994.18

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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.