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Finding the Fourth Proportional to 3,233.69, 4,850.53 and 925.19

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Solution

The fourth proportional to 3,233.69, 4,850.53 and 925.19 is: 1,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.69 : 4,850.53 = 925.19 : x
  2. Step 2: Convert to fraction form
    3,233.69/4,850.53 = 925.19/x
  3. Step 3: Cross multiply
    3,233.69x = 4,850.53 × 925.19
  4. Step 4: Simplify right side
    3,233.69x = 4,487,661.85
  5. Step 5: Solve for x
    x = 4,487,661.85/3,233.69
  6. Step 6: Final answer
    x = 1,387.78

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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.