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Finding the Fourth Proportional to 2,672.42, 3,687.90 and 1,493.60

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Solution

The fourth proportional to 2,672.42, 3,687.90 and 1,493.60 is: 2,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.42 : 3,687.90 = 1,493.60 : x
  2. Step 2: Convert to fraction form
    2,672.42/3,687.90 = 1,493.60/x
  3. Step 3: Cross multiply
    2,672.42x = 3,687.90 × 1,493.60
  4. Step 4: Simplify right side
    2,672.42x = 5,508,247.44
  5. Step 5: Solve for x
    x = 5,508,247.44/2,672.42
  6. Step 6: Final answer
    x = 2,061.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.