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Finding the Fourth Proportional to 2,976.89, 4,108.16 and 1,650.74

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Solution

The fourth proportional to 2,976.89, 4,108.16 and 1,650.74 is: 2,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.89 : 4,108.16 = 1,650.74 : x
  2. Step 2: Convert to fraction form
    2,976.89/4,108.16 = 1,650.74/x
  3. Step 3: Cross multiply
    2,976.89x = 4,108.16 × 1,650.74
  4. Step 4: Simplify right side
    2,976.89x = 6,781,487.62
  5. Step 5: Solve for x
    x = 6,781,487.62/2,976.89
  6. Step 6: Final answer
    x = 2,278.05

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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.