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Finding the Fourth Proportional to 2,343.97, 3,234.77 and 1,296.01

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Solution

The fourth proportional to 2,343.97, 3,234.77 and 1,296.01 is: 1,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.97 : 3,234.77 = 1,296.01 : x
  2. Step 2: Convert to fraction form
    2,343.97/3,234.77 = 1,296.01/x
  3. Step 3: Cross multiply
    2,343.97x = 3,234.77 × 1,296.01
  4. Step 4: Simplify right side
    2,343.97x = 4,192,294.27
  5. Step 5: Solve for x
    x = 4,192,294.27/2,343.97
  6. Step 6: Final answer
    x = 1,788.54

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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.