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Finding the Fourth Proportional to 2,960.76, 4,438.17 and 1,011.63

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Solution

The fourth proportional to 2,960.76, 4,438.17 and 1,011.63 is: 1,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.76 : 4,438.17 = 1,011.63 : x
  2. Step 2: Convert to fraction form
    2,960.76/4,438.17 = 1,011.63/x
  3. Step 3: Cross multiply
    2,960.76x = 4,438.17 × 1,011.63
  4. Step 4: Simplify right side
    2,960.76x = 4,489,785.92
  5. Step 5: Solve for x
    x = 4,489,785.92/2,960.76
  6. Step 6: Final answer
    x = 1,516.43

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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.