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Finding the Fourth Proportional to 2,893.67, 4,342.56 and 2,072.64

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Solution

The fourth proportional to 2,893.67, 4,342.56 and 2,072.64 is: 3,110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.67 : 4,342.56 = 2,072.64 : x
  2. Step 2: Convert to fraction form
    2,893.67/4,342.56 = 2,072.64/x
  3. Step 3: Cross multiply
    2,893.67x = 4,342.56 × 2,072.64
  4. Step 4: Simplify right side
    2,893.67x = 9,000,559.30
  5. Step 5: Solve for x
    x = 9,000,559.30/2,893.67
  6. Step 6: Final answer
    x = 3,110.43

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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.