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Finding the Fourth Proportional to 2,959.92, 4,084.57 and 1,633.61

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Solution

The fourth proportional to 2,959.92, 4,084.57 and 1,633.61 is: 2,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.92 : 4,084.57 = 1,633.61 : x
  2. Step 2: Convert to fraction form
    2,959.92/4,084.57 = 1,633.61/x
  3. Step 3: Cross multiply
    2,959.92x = 4,084.57 × 1,633.61
  4. Step 4: Simplify right side
    2,959.92x = 6,672,573.97
  5. Step 5: Solve for x
    x = 6,672,573.97/2,959.92
  6. Step 6: Final answer
    x = 2,254.31

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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.