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Finding the Fourth Proportional to 2,175.96, 3,003.18 and 1,231.81

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Solution

The fourth proportional to 2,175.96, 3,003.18 and 1,231.81 is: 1,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.96 : 3,003.18 = 1,231.81 : x
  2. Step 2: Convert to fraction form
    2,175.96/3,003.18 = 1,231.81/x
  3. Step 3: Cross multiply
    2,175.96x = 3,003.18 × 1,231.81
  4. Step 4: Simplify right side
    2,175.96x = 3,699,335.03
  5. Step 5: Solve for x
    x = 3,699,335.03/2,175.96
  6. Step 6: Final answer
    x = 1,700.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.