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Finding the Fourth Proportional to 2,349.97, 3,243.05 and 1,302.06

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Solution

The fourth proportional to 2,349.97, 3,243.05 and 1,302.06 is: 1,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.97 : 3,243.05 = 1,302.06 : x
  2. Step 2: Convert to fraction form
    2,349.97/3,243.05 = 1,302.06/x
  3. Step 3: Cross multiply
    2,349.97x = 3,243.05 × 1,302.06
  4. Step 4: Simplify right side
    2,349.97x = 4,222,645.68
  5. Step 5: Solve for x
    x = 4,222,645.68/2,349.97
  6. Step 6: Final answer
    x = 1,796.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.