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Finding the Fourth Proportional to 2,511.75, 3,767.22 and 1,779.11

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Solution

The fourth proportional to 2,511.75, 3,767.22 and 1,779.11 is: 2,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.75 : 3,767.22 = 1,779.11 : x
  2. Step 2: Convert to fraction form
    2,511.75/3,767.22 = 1,779.11/x
  3. Step 3: Cross multiply
    2,511.75x = 3,767.22 × 1,779.11
  4. Step 4: Simplify right side
    2,511.75x = 6,702,279.94
  5. Step 5: Solve for x
    x = 6,702,279.94/2,511.75
  6. Step 6: Final answer
    x = 2,668.37

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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.