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Finding the Fourth Proportional to 2,523.54, 3,782.51 and 1,905.24

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Solution

The fourth proportional to 2,523.54, 3,782.51 and 1,905.24 is: 2,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.54 : 3,782.51 = 1,905.24 : x
  2. Step 2: Convert to fraction form
    2,523.54/3,782.51 = 1,905.24/x
  3. Step 3: Cross multiply
    2,523.54x = 3,782.51 × 1,905.24
  4. Step 4: Simplify right side
    2,523.54x = 7,206,589.35
  5. Step 5: Solve for x
    x = 7,206,589.35/2,523.54
  6. Step 6: Final answer
    x = 2,855.75

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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.