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Finding the Fourth Proportional to 1,540.72, 2,311.56 and 1,418.56

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Solution

The fourth proportional to 1,540.72, 2,311.56 and 1,418.56 is: 2,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.72 : 2,311.56 = 1,418.56 : x
  2. Step 2: Convert to fraction form
    1,540.72/2,311.56 = 1,418.56/x
  3. Step 3: Cross multiply
    1,540.72x = 2,311.56 × 1,418.56
  4. Step 4: Simplify right side
    1,540.72x = 3,279,086.55
  5. Step 5: Solve for x
    x = 3,279,086.55/1,540.72
  6. Step 6: Final answer
    x = 2,128.28

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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.