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Finding the Fourth Proportional to 2,732.40, 4,096.51 and 1,270.49

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Solution

The fourth proportional to 2,732.40, 4,096.51 and 1,270.49 is: 1,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.40 : 4,096.51 = 1,270.49 : x
  2. Step 2: Convert to fraction form
    2,732.40/4,096.51 = 1,270.49/x
  3. Step 3: Cross multiply
    2,732.40x = 4,096.51 × 1,270.49
  4. Step 4: Simplify right side
    2,732.40x = 5,204,551.33
  5. Step 5: Solve for x
    x = 5,204,551.33/2,732.40
  6. Step 6: Final answer
    x = 1,904.75

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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.