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Finding the Fourth Proportional to 2,301.69, 3,449.49 and 839.43

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Solution

The fourth proportional to 2,301.69, 3,449.49 and 839.43 is: 1,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.69 : 3,449.49 = 839.43 : x
  2. Step 2: Convert to fraction form
    2,301.69/3,449.49 = 839.43/x
  3. Step 3: Cross multiply
    2,301.69x = 3,449.49 × 839.43
  4. Step 4: Simplify right side
    2,301.69x = 2,895,605.39
  5. Step 5: Solve for x
    x = 2,895,605.39/2,301.69
  6. Step 6: Final answer
    x = 1,258.03

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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.