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Finding the Fourth Proportional to 1,620.20, 2,431.23 and 683.07

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Solution

The fourth proportional to 1,620.20, 2,431.23 and 683.07 is: 1,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.20 : 2,431.23 = 683.07 : x
  2. Step 2: Convert to fraction form
    1,620.20/2,431.23 = 683.07/x
  3. Step 3: Cross multiply
    1,620.20x = 2,431.23 × 683.07
  4. Step 4: Simplify right side
    1,620.20x = 1,660,700.28
  5. Step 5: Solve for x
    x = 1,660,700.28/1,620.20
  6. Step 6: Final answer
    x = 1,025.00

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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.