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Finding the Fourth Proportional to 1,729.08, 2,595.24 and 755.73

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Solution

The fourth proportional to 1,729.08, 2,595.24 and 755.73 is: 1,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.08 : 2,595.24 = 755.73 : x
  2. Step 2: Convert to fraction form
    1,729.08/2,595.24 = 755.73/x
  3. Step 3: Cross multiply
    1,729.08x = 2,595.24 × 755.73
  4. Step 4: Simplify right side
    1,729.08x = 1,961,300.73
  5. Step 5: Solve for x
    x = 1,961,300.73/1,729.08
  6. Step 6: Final answer
    x = 1,134.30

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