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Finding the Fourth Proportional to 2,202.92, 3,299.78 and 1,033.94

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Solution

The fourth proportional to 2,202.92, 3,299.78 and 1,033.94 is: 1,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.92 : 3,299.78 = 1,033.94 : x
  2. Step 2: Convert to fraction form
    2,202.92/3,299.78 = 1,033.94/x
  3. Step 3: Cross multiply
    2,202.92x = 3,299.78 × 1,033.94
  4. Step 4: Simplify right side
    2,202.92x = 3,411,774.53
  5. Step 5: Solve for x
    x = 3,411,774.53/2,202.92
  6. Step 6: Final answer
    x = 1,548.75

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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.