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Finding the Fourth Proportional to 1,640.68, 2,457.75 and 1,119.39

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Solution

The fourth proportional to 1,640.68, 2,457.75 and 1,119.39 is: 1,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.68 : 2,457.75 = 1,119.39 : x
  2. Step 2: Convert to fraction form
    1,640.68/2,457.75 = 1,119.39/x
  3. Step 3: Cross multiply
    1,640.68x = 2,457.75 × 1,119.39
  4. Step 4: Simplify right side
    1,640.68x = 2,751,188.62
  5. Step 5: Solve for x
    x = 2,751,188.62/1,640.68
  6. Step 6: Final answer
    x = 1,676.85

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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.