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Finding the Fourth Proportional to 2,732.96, 4,096.56 and 1,759.40

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Solution

The fourth proportional to 2,732.96, 4,096.56 and 1,759.40 is: 2,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.96 : 4,096.56 = 1,759.40 : x
  2. Step 2: Convert to fraction form
    2,732.96/4,096.56 = 1,759.40/x
  3. Step 3: Cross multiply
    2,732.96x = 4,096.56 × 1,759.40
  4. Step 4: Simplify right side
    2,732.96x = 7,207,487.66
  5. Step 5: Solve for x
    x = 7,207,487.66/2,732.96
  6. Step 6: Final answer
    x = 2,637.25

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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.