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Finding the Fourth Proportional to 3,297.74, 4,936.29 and 1,832.18

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Solution

The fourth proportional to 3,297.74, 4,936.29 and 1,832.18 is: 2,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.74 : 4,936.29 = 1,832.18 : x
  2. Step 2: Convert to fraction form
    3,297.74/4,936.29 = 1,832.18/x
  3. Step 3: Cross multiply
    3,297.74x = 4,936.29 × 1,832.18
  4. Step 4: Simplify right side
    3,297.74x = 9,044,171.81
  5. Step 5: Solve for x
    x = 9,044,171.81/3,297.74
  6. Step 6: Final answer
    x = 2,742.54

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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.