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Finding the Fourth Proportional to 2,519.91, 3,779.74 and 1,424.28

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Solution

The fourth proportional to 2,519.91, 3,779.74 and 1,424.28 is: 2,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.91 : 3,779.74 = 1,424.28 : x
  2. Step 2: Convert to fraction form
    2,519.91/3,779.74 = 1,424.28/x
  3. Step 3: Cross multiply
    2,519.91x = 3,779.74 × 1,424.28
  4. Step 4: Simplify right side
    2,519.91x = 5,383,420.04
  5. Step 5: Solve for x
    x = 5,383,420.04/2,519.91
  6. Step 6: Final answer
    x = 2,136.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.