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Finding the Fourth Proportional to 2,072.66, 2,857.92 and 1,542.48

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Solution

The fourth proportional to 2,072.66, 2,857.92 and 1,542.48 is: 2,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.66 : 2,857.92 = 1,542.48 : x
  2. Step 2: Convert to fraction form
    2,072.66/2,857.92 = 1,542.48/x
  3. Step 3: Cross multiply
    2,072.66x = 2,857.92 × 1,542.48
  4. Step 4: Simplify right side
    2,072.66x = 4,408,284.44
  5. Step 5: Solve for x
    x = 4,408,284.44/2,072.66
  6. Step 6: Final answer
    x = 2,126.88

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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.