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Finding the Fourth Proportional to 1,620.42, 2,229.57 and 1,583.57

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Solution

The fourth proportional to 1,620.42, 2,229.57 and 1,583.57 is: 2,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.42 : 2,229.57 = 1,583.57 : x
  2. Step 2: Convert to fraction form
    1,620.42/2,229.57 = 1,583.57/x
  3. Step 3: Cross multiply
    1,620.42x = 2,229.57 × 1,583.57
  4. Step 4: Simplify right side
    1,620.42x = 3,530,669.02
  5. Step 5: Solve for x
    x = 3,530,669.02/1,620.42
  6. Step 6: Final answer
    x = 2,178.86

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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.