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Finding the Fourth Proportional to 2,715.25, 4,072.92 and 663.25

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Solution

The fourth proportional to 2,715.25, 4,072.92 and 663.25 is: 994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.25 : 4,072.92 = 663.25 : x
  2. Step 2: Convert to fraction form
    2,715.25/4,072.92 = 663.25/x
  3. Step 3: Cross multiply
    2,715.25x = 4,072.92 × 663.25
  4. Step 4: Simplify right side
    2,715.25x = 2,701,360.87
  5. Step 5: Solve for x
    x = 2,701,360.87/2,715.25
  6. Step 6: Final answer
    x = 994.88

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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.