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Finding the Fourth Proportional to 1,369.35, 1,877.37 and 1,344.75

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Solution

The fourth proportional to 1,369.35, 1,877.37 and 1,344.75 is: 1,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.35 : 1,877.37 = 1,344.75 : x
  2. Step 2: Convert to fraction form
    1,369.35/1,877.37 = 1,344.75/x
  3. Step 3: Cross multiply
    1,369.35x = 1,877.37 × 1,344.75
  4. Step 4: Simplify right side
    1,369.35x = 2,524,593.31
  5. Step 5: Solve for x
    x = 2,524,593.31/1,369.35
  6. Step 6: Final answer
    x = 1,843.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.