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Finding the Fourth Proportional to 1,835.91, 2,754.27 and 537.48

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Solution

The fourth proportional to 1,835.91, 2,754.27 and 537.48 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.91 : 2,754.27 = 537.48 : x
  2. Step 2: Convert to fraction form
    1,835.91/2,754.27 = 537.48/x
  3. Step 3: Cross multiply
    1,835.91x = 2,754.27 × 537.48
  4. Step 4: Simplify right side
    1,835.91x = 1,480,365.04
  5. Step 5: Solve for x
    x = 1,480,365.04/1,835.91
  6. Step 6: Final answer
    x = 806.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.