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Finding the Fourth Proportional to 1,651, 2,473.26 and 826.84

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Solution

The fourth proportional to 1,651, 2,473.26 and 826.84 is: 1,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651 : 2,473.26 = 826.84 : x
  2. Step 2: Convert to fraction form
    1,651/2,473.26 = 826.84/x
  3. Step 3: Cross multiply
    1,651x = 2,473.26 × 826.84
  4. Step 4: Simplify right side
    1,651x = 2,044,990.30
  5. Step 5: Solve for x
    x = 2,044,990.30/1,651
  6. Step 6: Final answer
    x = 1,238.64

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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.