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Finding the Fourth Proportional to 2,202.48, 3,302.53 and 815.55

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Solution

The fourth proportional to 2,202.48, 3,302.53 and 815.55 is: 1,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.48 : 3,302.53 = 815.55 : x
  2. Step 2: Convert to fraction form
    2,202.48/3,302.53 = 815.55/x
  3. Step 3: Cross multiply
    2,202.48x = 3,302.53 × 815.55
  4. Step 4: Simplify right side
    2,202.48x = 2,693,378.34
  5. Step 5: Solve for x
    x = 2,693,378.34/2,202.48
  6. Step 6: Final answer
    x = 1,222.88

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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.