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Finding the Fourth Proportional to 2,347.26, 3,239.10 and 1,299.39

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Solution

The fourth proportional to 2,347.26, 3,239.10 and 1,299.39 is: 1,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.26 : 3,239.10 = 1,299.39 : x
  2. Step 2: Convert to fraction form
    2,347.26/3,239.10 = 1,299.39/x
  3. Step 3: Cross multiply
    2,347.26x = 3,239.10 × 1,299.39
  4. Step 4: Simplify right side
    2,347.26x = 4,208,854.15
  5. Step 5: Solve for x
    x = 4,208,854.15/2,347.26
  6. Step 6: Final answer
    x = 1,793.09

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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.