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Finding the Fourth Proportional to 2,976.96, 4,108.14 and 1,650.66

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Solution

The fourth proportional to 2,976.96, 4,108.14 and 1,650.66 is: 2,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.96 : 4,108.14 = 1,650.66 : x
  2. Step 2: Convert to fraction form
    2,976.96/4,108.14 = 1,650.66/x
  3. Step 3: Cross multiply
    2,976.96x = 4,108.14 × 1,650.66
  4. Step 4: Simplify right side
    2,976.96x = 6,781,142.37
  5. Step 5: Solve for x
    x = 6,781,142.37/2,976.96
  6. Step 6: Final answer
    x = 2,277.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.