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Finding the Fourth Proportional to 2,893.42, 4,342.02 and 2,142.82

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Solution

The fourth proportional to 2,893.42, 4,342.02 and 2,142.82 is: 3,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.42 : 4,342.02 = 2,142.82 : x
  2. Step 2: Convert to fraction form
    2,893.42/4,342.02 = 2,142.82/x
  3. Step 3: Cross multiply
    2,893.42x = 4,342.02 × 2,142.82
  4. Step 4: Simplify right side
    2,893.42x = 9,304,167.30
  5. Step 5: Solve for x
    x = 9,304,167.30/2,893.42
  6. Step 6: Final answer
    x = 3,215.63

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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.