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Finding the Fourth Proportional to 2,272.74, 3,410.69 and 886.09

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Solution

The fourth proportional to 2,272.74, 3,410.69 and 886.09 is: 1,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.74 : 3,410.69 = 886.09 : x
  2. Step 2: Convert to fraction form
    2,272.74/3,410.69 = 886.09/x
  3. Step 3: Cross multiply
    2,272.74x = 3,410.69 × 886.09
  4. Step 4: Simplify right side
    2,272.74x = 3,022,178.30
  5. Step 5: Solve for x
    x = 3,022,178.30/2,272.74
  6. Step 6: Final answer
    x = 1,329.75

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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.