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Finding the Fourth Proportional to 2,650.76, 3,976.27 and 895.83

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Solution

The fourth proportional to 2,650.76, 3,976.27 and 895.83 is: 1,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.76 : 3,976.27 = 895.83 : x
  2. Step 2: Convert to fraction form
    2,650.76/3,976.27 = 895.83/x
  3. Step 3: Cross multiply
    2,650.76x = 3,976.27 × 895.83
  4. Step 4: Simplify right side
    2,650.76x = 3,562,061.95
  5. Step 5: Solve for x
    x = 3,562,061.95/2,650.76
  6. Step 6: Final answer
    x = 1,343.79

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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.