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Finding the Fourth Proportional to 3,073.60, 4,608.16 and 2,096.64

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Solution

The fourth proportional to 3,073.60, 4,608.16 and 2,096.64 is: 3,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.60 : 4,608.16 = 2,096.64 : x
  2. Step 2: Convert to fraction form
    3,073.60/4,608.16 = 2,096.64/x
  3. Step 3: Cross multiply
    3,073.60x = 4,608.16 × 2,096.64
  4. Step 4: Simplify right side
    3,073.60x = 9,661,652.58
  5. Step 5: Solve for x
    x = 9,661,652.58/3,073.60
  6. Step 6: Final answer
    x = 3,143.43

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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.