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Finding the Fourth Proportional to 2,095.55, 3,144.83 and 779.48

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Solution

The fourth proportional to 2,095.55, 3,144.83 and 779.48 is: 1,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.55 : 3,144.83 = 779.48 : x
  2. Step 2: Convert to fraction form
    2,095.55/3,144.83 = 779.48/x
  3. Step 3: Cross multiply
    2,095.55x = 3,144.83 × 779.48
  4. Step 4: Simplify right side
    2,095.55x = 2,451,339.95
  5. Step 5: Solve for x
    x = 2,451,339.95/2,095.55
  6. Step 6: Final answer
    x = 1,169.79

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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.