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Finding the Fourth Proportional to 2,519.85, 3,779.81 and 764.87

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Solution

The fourth proportional to 2,519.85, 3,779.81 and 764.87 is: 1,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.85 : 3,779.81 = 764.87 : x
  2. Step 2: Convert to fraction form
    2,519.85/3,779.81 = 764.87/x
  3. Step 3: Cross multiply
    2,519.85x = 3,779.81 × 764.87
  4. Step 4: Simplify right side
    2,519.85x = 2,891,043.42
  5. Step 5: Solve for x
    x = 2,891,043.42/2,519.85
  6. Step 6: Final answer
    x = 1,147.31

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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.