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Finding the Fourth Proportional to 2,344.68, 3,235.72 and 1,296.76

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Solution

The fourth proportional to 2,344.68, 3,235.72 and 1,296.76 is: 1,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.68 : 3,235.72 = 1,296.76 : x
  2. Step 2: Convert to fraction form
    2,344.68/3,235.72 = 1,296.76/x
  3. Step 3: Cross multiply
    2,344.68x = 3,235.72 × 1,296.76
  4. Step 4: Simplify right side
    2,344.68x = 4,195,952.27
  5. Step 5: Solve for x
    x = 4,195,952.27/2,344.68
  6. Step 6: Final answer
    x = 1,789.56

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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.