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Finding the Fourth Proportional to 2,134.73, 3,202.28 and 748.04

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Solution

The fourth proportional to 2,134.73, 3,202.28 and 748.04 is: 1,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.73 : 3,202.28 = 748.04 : x
  2. Step 2: Convert to fraction form
    2,134.73/3,202.28 = 748.04/x
  3. Step 3: Cross multiply
    2,134.73x = 3,202.28 × 748.04
  4. Step 4: Simplify right side
    2,134.73x = 2,395,413.78
  5. Step 5: Solve for x
    x = 2,395,413.78/2,134.73
  6. Step 6: Final answer
    x = 1,122.12

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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.