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Finding the Fourth Proportional to 2,727.29, 4,091.15 and 972.68

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Solution

The fourth proportional to 2,727.29, 4,091.15 and 972.68 is: 1,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.29 : 4,091.15 = 972.68 : x
  2. Step 2: Convert to fraction form
    2,727.29/4,091.15 = 972.68/x
  3. Step 3: Cross multiply
    2,727.29x = 4,091.15 × 972.68
  4. Step 4: Simplify right side
    2,727.29x = 3,979,361.76
  5. Step 5: Solve for x
    x = 3,979,361.76/2,727.29
  6. Step 6: Final answer
    x = 1,459.09

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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.