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Finding the Fourth Proportional to 2,026.52, 2,796.54 and 1,142.33

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Solution

The fourth proportional to 2,026.52, 2,796.54 and 1,142.33 is: 1,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.52 : 2,796.54 = 1,142.33 : x
  2. Step 2: Convert to fraction form
    2,026.52/2,796.54 = 1,142.33/x
  3. Step 3: Cross multiply
    2,026.52x = 2,796.54 × 1,142.33
  4. Step 4: Simplify right side
    2,026.52x = 3,194,571.54
  5. Step 5: Solve for x
    x = 3,194,571.54/2,026.52
  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.