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Finding the Fourth Proportional to 2,922.49, 4,033.04 and 1,663.49

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Solution

The fourth proportional to 2,922.49, 4,033.04 and 1,663.49 is: 2,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.49 : 4,033.04 = 1,663.49 : x
  2. Step 2: Convert to fraction form
    2,922.49/4,033.04 = 1,663.49/x
  3. Step 3: Cross multiply
    2,922.49x = 4,033.04 × 1,663.49
  4. Step 4: Simplify right side
    2,922.49x = 6,708,910.15
  5. Step 5: Solve for x
    x = 6,708,910.15/2,922.49
  6. Step 6: Final answer
    x = 2,295.61

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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.