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Finding the Fourth Proportional to 2,766.30, 4,150.80 and 2,107.95

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Solution

The fourth proportional to 2,766.30, 4,150.80 and 2,107.95 is: 3,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.30 : 4,150.80 = 2,107.95 : x
  2. Step 2: Convert to fraction form
    2,766.30/4,150.80 = 2,107.95/x
  3. Step 3: Cross multiply
    2,766.30x = 4,150.80 × 2,107.95
  4. Step 4: Simplify right side
    2,766.30x = 8,749,678.86
  5. Step 5: Solve for x
    x = 8,749,678.86/2,766.30
  6. Step 6: Final answer
    x = 3,162.95

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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.