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Finding the Fourth Proportional to 2,447.92, 3,672.60 and 2,104.48

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Solution

The fourth proportional to 2,447.92, 3,672.60 and 2,104.48 is: 3,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.92 : 3,672.60 = 2,104.48 : x
  2. Step 2: Convert to fraction form
    2,447.92/3,672.60 = 2,104.48/x
  3. Step 3: Cross multiply
    2,447.92x = 3,672.60 × 2,104.48
  4. Step 4: Simplify right side
    2,447.92x = 7,728,913.25
  5. Step 5: Solve for x
    x = 7,728,913.25/2,447.92
  6. Step 6: Final answer
    x = 3,157.34

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1.5x scale

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.