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Finding the Fourth Proportional to 3,204.92, 4,796.60 and 1,973.22

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Solution

The fourth proportional to 3,204.92, 4,796.60 and 1,973.22 is: 2,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.92 : 4,796.60 = 1,973.22 : x
  2. Step 2: Convert to fraction form
    3,204.92/4,796.60 = 1,973.22/x
  3. Step 3: Cross multiply
    3,204.92x = 4,796.60 × 1,973.22
  4. Step 4: Simplify right side
    3,204.92x = 9,464,747.05
  5. Step 5: Solve for x
    x = 9,464,747.05/3,204.92
  6. Step 6: Final answer
    x = 2,953.19

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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.