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Finding the Fourth Proportional to 2,633.58, 3,949.29 and 901.80

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Solution

The fourth proportional to 2,633.58, 3,949.29 and 901.80 is: 1,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.58 : 3,949.29 = 901.80 : x
  2. Step 2: Convert to fraction form
    2,633.58/3,949.29 = 901.80/x
  3. Step 3: Cross multiply
    2,633.58x = 3,949.29 × 901.80
  4. Step 4: Simplify right side
    2,633.58x = 3,561,469.72
  5. Step 5: Solve for x
    x = 3,561,469.72/2,633.58
  6. Step 6: Final answer
    x = 1,352.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.