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Finding the Fourth Proportional to 1,542.54, 2,128.74 and 843.92

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Solution

The fourth proportional to 1,542.54, 2,128.74 and 843.92 is: 1,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.54 : 2,128.74 = 843.92 : x
  2. Step 2: Convert to fraction form
    1,542.54/2,128.74 = 843.92/x
  3. Step 3: Cross multiply
    1,542.54x = 2,128.74 × 843.92
  4. Step 4: Simplify right side
    1,542.54x = 1,796,486.26
  5. Step 5: Solve for x
    x = 1,796,486.26/1,542.54
  6. Step 6: Final answer
    x = 1,164.63

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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.