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Finding the Fourth Proportional to 1,725.32, 2,380.94 and 939.37

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Solution

The fourth proportional to 1,725.32, 2,380.94 and 939.37 is: 1,296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.32 : 2,380.94 = 939.37 : x
  2. Step 2: Convert to fraction form
    1,725.32/2,380.94 = 939.37/x
  3. Step 3: Cross multiply
    1,725.32x = 2,380.94 × 939.37
  4. Step 4: Simplify right side
    1,725.32x = 2,236,583.61
  5. Step 5: Solve for x
    x = 2,236,583.61/1,725.32
  6. Step 6: Final answer
    x = 1,296.33

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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.