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Finding the Fourth Proportional to 2,202.04, 3,302.78 and 815.33

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Solution

The fourth proportional to 2,202.04, 3,302.78 and 815.33 is: 1,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.04 : 3,302.78 = 815.33 : x
  2. Step 2: Convert to fraction form
    2,202.04/3,302.78 = 815.33/x
  3. Step 3: Cross multiply
    2,202.04x = 3,302.78 × 815.33
  4. Step 4: Simplify right side
    2,202.04x = 2,692,859.80
  5. Step 5: Solve for x
    x = 2,692,859.80/2,202.04
  6. Step 6: Final answer
    x = 1,222.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.