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Finding the Fourth Proportional to 2,519.68, 3,779.72 and 1,059

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Solution

The fourth proportional to 2,519.68, 3,779.72 and 1,059 is: 1,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.68 : 3,779.72 = 1,059 : x
  2. Step 2: Convert to fraction form
    2,519.68/3,779.72 = 1,059/x
  3. Step 3: Cross multiply
    2,519.68x = 3,779.72 × 1,059
  4. Step 4: Simplify right side
    2,519.68x = 4,002,723.48
  5. Step 5: Solve for x
    x = 4,002,723.48/2,519.68
  6. Step 6: Final answer
    x = 1,588.58

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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.