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Finding the Fourth Proportional to 2,344.74, 3,235.68 and 1,296.78

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Solution

The fourth proportional to 2,344.74, 3,235.68 and 1,296.78 is: 1,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.74 : 3,235.68 = 1,296.78 : x
  2. Step 2: Convert to fraction form
    2,344.74/3,235.68 = 1,296.78/x
  3. Step 3: Cross multiply
    2,344.74x = 3,235.68 × 1,296.78
  4. Step 4: Simplify right side
    2,344.74x = 4,195,965.11
  5. Step 5: Solve for x
    x = 4,195,965.11/2,344.74
  6. Step 6: Final answer
    x = 1,789.52

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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.