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Finding the Fourth Proportional to 1,650.71, 2,471.27 and 868.86

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Solution

The fourth proportional to 1,650.71, 2,471.27 and 868.86 is: 1,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.71 : 2,471.27 = 868.86 : x
  2. Step 2: Convert to fraction form
    1,650.71/2,471.27 = 868.86/x
  3. Step 3: Cross multiply
    1,650.71x = 2,471.27 × 868.86
  4. Step 4: Simplify right side
    1,650.71x = 2,147,183.31
  5. Step 5: Solve for x
    x = 2,147,183.31/1,650.71
  6. Step 6: Final answer
    x = 1,300.76

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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.