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Finding the Fourth Proportional to 2,839.69, 4,258.68 and 1,083.41

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Solution

The fourth proportional to 2,839.69, 4,258.68 and 1,083.41 is: 1,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.69 : 4,258.68 = 1,083.41 : x
  2. Step 2: Convert to fraction form
    2,839.69/4,258.68 = 1,083.41/x
  3. Step 3: Cross multiply
    2,839.69x = 4,258.68 × 1,083.41
  4. Step 4: Simplify right side
    2,839.69x = 4,613,887.11
  5. Step 5: Solve for x
    x = 4,613,887.11/2,839.69
  6. Step 6: Final answer
    x = 1,624.78

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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.