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Finding the Fourth Proportional to 1,649.08, 2,473.92 and 827.92

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Solution

The fourth proportional to 1,649.08, 2,473.92 and 827.92 is: 1,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.08 : 2,473.92 = 827.92 : x
  2. Step 2: Convert to fraction form
    1,649.08/2,473.92 = 827.92/x
  3. Step 3: Cross multiply
    1,649.08x = 2,473.92 × 827.92
  4. Step 4: Simplify right side
    1,649.08x = 2,048,207.85
  5. Step 5: Solve for x
    x = 2,048,207.85/1,649.08
  6. Step 6: Final answer
    x = 1,242.03

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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.