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Finding the Fourth Proportional to 2,976.99, 4,108.19 and 1,650.68

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Solution

The fourth proportional to 2,976.99, 4,108.19 and 1,650.68 is: 2,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.99 : 4,108.19 = 1,650.68 : x
  2. Step 2: Convert to fraction form
    2,976.99/4,108.19 = 1,650.68/x
  3. Step 3: Cross multiply
    2,976.99x = 4,108.19 × 1,650.68
  4. Step 4: Simplify right side
    2,976.99x = 6,781,309.09
  5. Step 5: Solve for x
    x = 6,781,309.09/2,976.99
  6. Step 6: Final answer
    x = 2,277.91

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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.