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Finding the Fourth Proportional to 2,144.06, 3,215.48 and 757.20

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Solution

The fourth proportional to 2,144.06, 3,215.48 and 757.20 is: 1,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.06 : 3,215.48 = 757.20 : x
  2. Step 2: Convert to fraction form
    2,144.06/3,215.48 = 757.20/x
  3. Step 3: Cross multiply
    2,144.06x = 3,215.48 × 757.20
  4. Step 4: Simplify right side
    2,144.06x = 2,434,761.46
  5. Step 5: Solve for x
    x = 2,434,761.46/2,144.06
  6. Step 6: Final answer
    x = 1,135.59

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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.