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Finding the Fourth Proportional to 1,820.37, 2,732.12 and 725.51

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Solution

The fourth proportional to 1,820.37, 2,732.12 and 725.51 is: 1,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.37 : 2,732.12 = 725.51 : x
  2. Step 2: Convert to fraction form
    1,820.37/2,732.12 = 725.51/x
  3. Step 3: Cross multiply
    1,820.37x = 2,732.12 × 725.51
  4. Step 4: Simplify right side
    1,820.37x = 1,982,163.09
  5. Step 5: Solve for x
    x = 1,982,163.09/1,820.37
  6. Step 6: Final answer
    x = 1,088.88

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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.