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Finding the Fourth Proportional to 3,230.25, 4,845.42 and 921.75

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Solution

The fourth proportional to 3,230.25, 4,845.42 and 921.75 is: 1,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.25 : 4,845.42 = 921.75 : x
  2. Step 2: Convert to fraction form
    3,230.25/4,845.42 = 921.75/x
  3. Step 3: Cross multiply
    3,230.25x = 4,845.42 × 921.75
  4. Step 4: Simplify right side
    3,230.25x = 4,466,265.89
  5. Step 5: Solve for x
    x = 4,466,265.89/3,230.25
  6. Step 6: Final answer
    x = 1,382.64

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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.