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Finding the Fourth Proportional to 2,532.81, 3,799.41 and 1,072.11

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Solution

The fourth proportional to 2,532.81, 3,799.41 and 1,072.11 is: 1,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.81 : 3,799.41 = 1,072.11 : x
  2. Step 2: Convert to fraction form
    2,532.81/3,799.41 = 1,072.11/x
  3. Step 3: Cross multiply
    2,532.81x = 3,799.41 × 1,072.11
  4. Step 4: Simplify right side
    2,532.81x = 4,073,385.46
  5. Step 5: Solve for x
    x = 4,073,385.46/2,532.81
  6. Step 6: Final answer
    x = 1,608.25

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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.