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Finding the Fourth Proportional to 2,524.81, 3,779.13 and 1,351.88

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Solution

The fourth proportional to 2,524.81, 3,779.13 and 1,351.88 is: 2,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.81 : 3,779.13 = 1,351.88 : x
  2. Step 2: Convert to fraction form
    2,524.81/3,779.13 = 1,351.88/x
  3. Step 3: Cross multiply
    2,524.81x = 3,779.13 × 1,351.88
  4. Step 4: Simplify right side
    2,524.81x = 5,108,930.26
  5. Step 5: Solve for x
    x = 5,108,930.26/2,524.81
  6. Step 6: Final answer
    x = 2,023.49

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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.