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Finding the Fourth Proportional to 2,344.34, 3,235.34 and 1,349.80

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Solution

The fourth proportional to 2,344.34, 3,235.34 and 1,349.80 is: 1,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.34 : 3,235.34 = 1,349.80 : x
  2. Step 2: Convert to fraction form
    2,344.34/3,235.34 = 1,349.80/x
  3. Step 3: Cross multiply
    2,344.34x = 3,235.34 × 1,349.80
  4. Step 4: Simplify right side
    2,344.34x = 4,367,057.22
  5. Step 5: Solve for x
    x = 4,367,057.22/2,344.34
  6. Step 6: Final answer
    x = 1,862.81

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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.