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Finding the Fourth Proportional to 2,344.35, 3,234.74 and 1,296.21

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Solution

The fourth proportional to 2,344.35, 3,234.74 and 1,296.21 is: 1,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.35 : 3,234.74 = 1,296.21 : x
  2. Step 2: Convert to fraction form
    2,344.35/3,234.74 = 1,296.21/x
  3. Step 3: Cross multiply
    2,344.35x = 3,234.74 × 1,296.21
  4. Step 4: Simplify right side
    2,344.35x = 4,192,895.85
  5. Step 5: Solve for x
    x = 4,192,895.85/2,344.35
  6. Step 6: Final answer
    x = 1,788.51

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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.