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Finding the Fourth Proportional to 1,649.82, 2,474.37 and 495.54

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Solution

The fourth proportional to 1,649.82, 2,474.37 and 495.54 is: 743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.82 : 2,474.37 = 495.54 : x
  2. Step 2: Convert to fraction form
    1,649.82/2,474.37 = 495.54/x
  3. Step 3: Cross multiply
    1,649.82x = 2,474.37 × 495.54
  4. Step 4: Simplify right side
    1,649.82x = 1,226,149.31
  5. Step 5: Solve for x
    x = 1,226,149.31/1,649.82
  6. Step 6: Final answer
    x = 743.20

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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.