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Finding the Fourth Proportional to 2,467.67, 3,405.46 and 1,523.42

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Solution

The fourth proportional to 2,467.67, 3,405.46 and 1,523.42 is: 2,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.67 : 3,405.46 = 1,523.42 : x
  2. Step 2: Convert to fraction form
    2,467.67/3,405.46 = 1,523.42/x
  3. Step 3: Cross multiply
    2,467.67x = 3,405.46 × 1,523.42
  4. Step 4: Simplify right side
    2,467.67x = 5,187,959.82
  5. Step 5: Solve for x
    x = 5,187,959.82/2,467.67
  6. Step 6: Final answer
    x = 2,102.38

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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.