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Finding the Fourth Proportional to 2,524.80, 3,779.10 and 1,351.88

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Solution

The fourth proportional to 2,524.80, 3,779.10 and 1,351.88 is: 2,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.80 : 3,779.10 = 1,351.88 : x
  2. Step 2: Convert to fraction form
    2,524.80/3,779.10 = 1,351.88/x
  3. Step 3: Cross multiply
    2,524.80x = 3,779.10 × 1,351.88
  4. Step 4: Simplify right side
    2,524.80x = 5,108,870.81
  5. Step 5: Solve for x
    x = 5,108,870.81/2,524.80
  6. Step 6: Final answer
    x = 2,023.48

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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.