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Finding the Fourth Proportional to 2,073.78, 2,861.73 and 1,142.22

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Solution

The fourth proportional to 2,073.78, 2,861.73 and 1,142.22 is: 1,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.78 : 2,861.73 = 1,142.22 : x
  2. Step 2: Convert to fraction form
    2,073.78/2,861.73 = 1,142.22/x
  3. Step 3: Cross multiply
    2,073.78x = 2,861.73 × 1,142.22
  4. Step 4: Simplify right side
    2,073.78x = 3,268,725.24
  5. Step 5: Solve for x
    x = 3,268,725.24/2,073.78
  6. Step 6: Final answer
    x = 1,576.22

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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.