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Finding the Fourth Proportional to 2,725.88, 4,090.43 and 994.64

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Solution

The fourth proportional to 2,725.88, 4,090.43 and 994.64 is: 1,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.88 : 4,090.43 = 994.64 : x
  2. Step 2: Convert to fraction form
    2,725.88/4,090.43 = 994.64/x
  3. Step 3: Cross multiply
    2,725.88x = 4,090.43 × 994.64
  4. Step 4: Simplify right side
    2,725.88x = 4,068,487.33
  5. Step 5: Solve for x
    x = 4,068,487.33/2,725.88
  6. Step 6: Final answer
    x = 1,492.54

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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.