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Finding the Fourth Proportional to 2,394.25, 3,591.38 and 662.88

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Solution

The fourth proportional to 2,394.25, 3,591.38 and 662.88 is: 994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.25 : 3,591.38 = 662.88 : x
  2. Step 2: Convert to fraction form
    2,394.25/3,591.38 = 662.88/x
  3. Step 3: Cross multiply
    2,394.25x = 3,591.38 × 662.88
  4. Step 4: Simplify right side
    2,394.25x = 2,380,653.97
  5. Step 5: Solve for x
    x = 2,380,653.97/2,394.25
  6. Step 6: Final answer
    x = 994.32

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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.