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Finding the Fourth Proportional to 2,073.81, 2,861.87 and 1,142.31

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Solution

The fourth proportional to 2,073.81, 2,861.87 and 1,142.31 is: 1,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.81 : 2,861.87 = 1,142.31 : x
  2. Step 2: Convert to fraction form
    2,073.81/2,861.87 = 1,142.31/x
  3. Step 3: Cross multiply
    2,073.81x = 2,861.87 × 1,142.31
  4. Step 4: Simplify right side
    2,073.81x = 3,269,142.72
  5. Step 5: Solve for x
    x = 3,269,142.72/2,073.81
  6. Step 6: Final answer
    x = 1,576.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.