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Finding the Fourth Proportional to 1,540.53, 2,311.11 and 889.92

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Solution

The fourth proportional to 1,540.53, 2,311.11 and 889.92 is: 1,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.53 : 2,311.11 = 889.92 : x
  2. Step 2: Convert to fraction form
    1,540.53/2,311.11 = 889.92/x
  3. Step 3: Cross multiply
    1,540.53x = 2,311.11 × 889.92
  4. Step 4: Simplify right side
    1,540.53x = 2,056,703.01
  5. Step 5: Solve for x
    x = 2,056,703.01/1,540.53
  6. Step 6: Final answer
    x = 1,335.06

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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.