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Finding the Fourth Proportional to 2,202.78, 3,300.09 and 1,576.79

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Solution

The fourth proportional to 2,202.78, 3,300.09 and 1,576.79 is: 2,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.78 : 3,300.09 = 1,576.79 : x
  2. Step 2: Convert to fraction form
    2,202.78/3,300.09 = 1,576.79/x
  3. Step 3: Cross multiply
    2,202.78x = 3,300.09 × 1,576.79
  4. Step 4: Simplify right side
    2,202.78x = 5,203,524.53
  5. Step 5: Solve for x
    x = 5,203,524.53/2,202.78
  6. Step 6: Final answer
    x = 2,362.25

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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.