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Finding the Fourth Proportional to 2,651.46, 3,977.23 and 896.48

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Solution

The fourth proportional to 2,651.46, 3,977.23 and 896.48 is: 1,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.46 : 3,977.23 = 896.48 : x
  2. Step 2: Convert to fraction form
    2,651.46/3,977.23 = 896.48/x
  3. Step 3: Cross multiply
    2,651.46x = 3,977.23 × 896.48
  4. Step 4: Simplify right side
    2,651.46x = 3,565,507.15
  5. Step 5: Solve for x
    x = 3,565,507.15/2,651.46
  6. Step 6: Final answer
    x = 1,344.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.