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Finding the Fourth Proportional to 1,866.41, 2,800.25 and 826.27

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Solution

The fourth proportional to 1,866.41, 2,800.25 and 826.27 is: 1,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.41 : 2,800.25 = 826.27 : x
  2. Step 2: Convert to fraction form
    1,866.41/2,800.25 = 826.27/x
  3. Step 3: Cross multiply
    1,866.41x = 2,800.25 × 826.27
  4. Step 4: Simplify right side
    1,866.41x = 2,313,744.43
  5. Step 5: Solve for x
    x = 2,313,744.43/1,866.41
  6. Step 6: Final answer
    x = 1,239.68

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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.