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Finding the Fourth Proportional to 2,468.37, 3,407.28 and 1,524.33

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Solution

The fourth proportional to 2,468.37, 3,407.28 and 1,524.33 is: 2,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.37 : 3,407.28 = 1,524.33 : x
  2. Step 2: Convert to fraction form
    2,468.37/3,407.28 = 1,524.33/x
  3. Step 3: Cross multiply
    2,468.37x = 3,407.28 × 1,524.33
  4. Step 4: Simplify right side
    2,468.37x = 5,193,819.12
  5. Step 5: Solve for x
    x = 5,193,819.12/2,468.37
  6. Step 6: Final answer
    x = 2,104.15

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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.