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Finding the Fourth Proportional to 1,620.43, 2,431.58 and 683.31

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Solution

The fourth proportional to 1,620.43, 2,431.58 and 683.31 is: 1,025.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.43 : 2,431.58 = 683.31 : x
  2. Step 2: Convert to fraction form
    1,620.43/2,431.58 = 683.31/x
  3. Step 3: Cross multiply
    1,620.43x = 2,431.58 × 683.31
  4. Step 4: Simplify right side
    1,620.43x = 1,661,533.17
  5. Step 5: Solve for x
    x = 1,661,533.17/1,620.43
  6. Step 6: Final answer
    x = 1,025.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.