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Finding the Fourth Proportional to 1,640.79, 2,273.58 and 1,620.72

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Solution

The fourth proportional to 1,640.79, 2,273.58 and 1,620.72 is: 2,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.79 : 2,273.58 = 1,620.72 : x
  2. Step 2: Convert to fraction form
    1,640.79/2,273.58 = 1,620.72/x
  3. Step 3: Cross multiply
    1,640.79x = 2,273.58 × 1,620.72
  4. Step 4: Simplify right side
    1,640.79x = 3,684,836.58
  5. Step 5: Solve for x
    x = 3,684,836.58/1,640.79
  6. Step 6: Final answer
    x = 2,245.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.