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Finding the Fourth Proportional to 2,912.36, 4,369.24 and 832.41

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Solution

The fourth proportional to 2,912.36, 4,369.24 and 832.41 is: 1,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.36 : 4,369.24 = 832.41 : x
  2. Step 2: Convert to fraction form
    2,912.36/4,369.24 = 832.41/x
  3. Step 3: Cross multiply
    2,912.36x = 4,369.24 × 832.41
  4. Step 4: Simplify right side
    2,912.36x = 3,637,000.11
  5. Step 5: Solve for x
    x = 3,637,000.11/2,912.36
  6. Step 6: Final answer
    x = 1,248.82

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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.