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Finding the Fourth Proportional to 1,836.05, 2,752.89 and 665.84

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Solution

The fourth proportional to 1,836.05, 2,752.89 and 665.84 is: 998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.05 : 2,752.89 = 665.84 : x
  2. Step 2: Convert to fraction form
    1,836.05/2,752.89 = 665.84/x
  3. Step 3: Cross multiply
    1,836.05x = 2,752.89 × 665.84
  4. Step 4: Simplify right side
    1,836.05x = 1,832,978.98
  5. Step 5: Solve for x
    x = 1,832,978.98/1,836.05
  6. Step 6: Final answer
    x = 998.32

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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.