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Finding the Fourth Proportional to 2,519.38, 3,779.25 and 670.49

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Solution

The fourth proportional to 2,519.38, 3,779.25 and 670.49 is: 1,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.38 : 3,779.25 = 670.49 : x
  2. Step 2: Convert to fraction form
    2,519.38/3,779.25 = 670.49/x
  3. Step 3: Cross multiply
    2,519.38x = 3,779.25 × 670.49
  4. Step 4: Simplify right side
    2,519.38x = 2,533,930.44
  5. Step 5: Solve for x
    x = 2,533,930.44/2,519.38
  6. Step 6: Final answer
    x = 1,005.78

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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.