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Finding the Fourth Proportional to 3,233.94, 4,462.74 and 1,817.64

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Solution

The fourth proportional to 3,233.94, 4,462.74 and 1,817.64 is: 2,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.94 : 4,462.74 = 1,817.64 : x
  2. Step 2: Convert to fraction form
    3,233.94/4,462.74 = 1,817.64/x
  3. Step 3: Cross multiply
    3,233.94x = 4,462.74 × 1,817.64
  4. Step 4: Simplify right side
    3,233.94x = 8,111,654.73
  5. Step 5: Solve for x
    x = 8,111,654.73/3,233.94
  6. Step 6: Final answer
    x = 2,508.29

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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.