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Finding the Fourth Proportional to 2,976.84, 4,108.23 and 1,650.69

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Solution

The fourth proportional to 2,976.84, 4,108.23 and 1,650.69 is: 2,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.84 : 4,108.23 = 1,650.69 : x
  2. Step 2: Convert to fraction form
    2,976.84/4,108.23 = 1,650.69/x
  3. Step 3: Cross multiply
    2,976.84x = 4,108.23 × 1,650.69
  4. Step 4: Simplify right side
    2,976.84x = 6,781,414.18
  5. Step 5: Solve for x
    x = 6,781,414.18/2,976.84
  6. Step 6: Final answer
    x = 2,278.06

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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.