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Finding the Fourth Proportional to 2,344.26, 3,235.06 and 1,296.38

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Solution

The fourth proportional to 2,344.26, 3,235.06 and 1,296.38 is: 1,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.26 : 3,235.06 = 1,296.38 : x
  2. Step 2: Convert to fraction form
    2,344.26/3,235.06 = 1,296.38/x
  3. Step 3: Cross multiply
    2,344.26x = 3,235.06 × 1,296.38
  4. Step 4: Simplify right side
    2,344.26x = 4,193,867.08
  5. Step 5: Solve for x
    x = 4,193,867.08/2,344.26
  6. Step 6: Final answer
    x = 1,788.99

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Why These Related Problems?

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