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Finding the Fourth Proportional to 4,120.76, 6,179.26 and 1,779.66

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Solution

The fourth proportional to 4,120.76, 6,179.26 and 1,779.66 is: 2,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.76 : 6,179.26 = 1,779.66 : x
  2. Step 2: Convert to fraction form
    4,120.76/6,179.26 = 1,779.66/x
  3. Step 3: Cross multiply
    4,120.76x = 6,179.26 × 1,779.66
  4. Step 4: Simplify right side
    4,120.76x = 10,996,981.85
  5. Step 5: Solve for x
    x = 10,996,981.85/4,120.76
  6. Step 6: Final answer
    x = 2,668.68

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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.