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Finding the Fourth Proportional to 2,202.66, 3,302.94 and 815.30

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Solution

The fourth proportional to 2,202.66, 3,302.94 and 815.30 is: 1,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.66 : 3,302.94 = 815.30 : x
  2. Step 2: Convert to fraction form
    2,202.66/3,302.94 = 815.30/x
  3. Step 3: Cross multiply
    2,202.66x = 3,302.94 × 815.30
  4. Step 4: Simplify right side
    2,202.66x = 2,692,886.98
  5. Step 5: Solve for x
    x = 2,692,886.98/2,202.66
  6. Step 6: Final answer
    x = 1,222.56

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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.