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Finding the Fourth Proportional to 2,225.87, 3,338.84 and 839.22

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Solution

The fourth proportional to 2,225.87, 3,338.84 and 839.22 is: 1,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.87 : 3,338.84 = 839.22 : x
  2. Step 2: Convert to fraction form
    2,225.87/3,338.84 = 839.22/x
  3. Step 3: Cross multiply
    2,225.87x = 3,338.84 × 839.22
  4. Step 4: Simplify right side
    2,225.87x = 2,802,021.30
  5. Step 5: Solve for x
    x = 2,802,021.30/2,225.87
  6. Step 6: Final answer
    x = 1,258.84

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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.