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Finding the Fourth Proportional to 2,912.36, 4,369.14 and 964.71

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Solution

The fourth proportional to 2,912.36, 4,369.14 and 964.71 is: 1,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.36 : 4,369.14 = 964.71 : x
  2. Step 2: Convert to fraction form
    2,912.36/4,369.14 = 964.71/x
  3. Step 3: Cross multiply
    2,912.36x = 4,369.14 × 964.71
  4. Step 4: Simplify right side
    2,912.36x = 4,214,953.05
  5. Step 5: Solve for x
    x = 4,214,953.05/2,912.36
  6. Step 6: Final answer
    x = 1,447.27

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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.