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Finding the Fourth Proportional to 1,729.44, 2,595.38 and 755.82

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Solution

The fourth proportional to 1,729.44, 2,595.38 and 755.82 is: 1,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.44 : 2,595.38 = 755.82 : x
  2. Step 2: Convert to fraction form
    1,729.44/2,595.38 = 755.82/x
  3. Step 3: Cross multiply
    1,729.44x = 2,595.38 × 755.82
  4. Step 4: Simplify right side
    1,729.44x = 1,961,636.33
  5. Step 5: Solve for x
    x = 1,961,636.33/1,729.44
  6. Step 6: Final answer
    x = 1,134.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.