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Finding the Fourth Proportional to 2,196.80, 3,353.04 and 2,196.80

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Solution

The fourth proportional to 2,196.80, 3,353.04 and 2,196.80 is: 3,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.80 : 3,353.04 = 2,196.80 : x
  2. Step 2: Convert to fraction form
    2,196.80/3,353.04 = 2,196.80/x
  3. Step 3: Cross multiply
    2,196.80x = 3,353.04 × 2,196.80
  4. Step 4: Simplify right side
    2,196.80x = 7,365,958.27
  5. Step 5: Solve for x
    x = 7,365,958.27/2,196.80
  6. Step 6: Final answer
    x = 3,353.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.