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Finding the Fourth Proportional to 2,226.07, 3,338.59 and 839.55

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Solution

The fourth proportional to 2,226.07, 3,338.59 and 839.55 is: 1,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.07 : 3,338.59 = 839.55 : x
  2. Step 2: Convert to fraction form
    2,226.07/3,338.59 = 839.55/x
  3. Step 3: Cross multiply
    2,226.07x = 3,338.59 × 839.55
  4. Step 4: Simplify right side
    2,226.07x = 2,802,913.23
  5. Step 5: Solve for x
    x = 2,802,913.23/2,226.07
  6. Step 6: Final answer
    x = 1,259.13

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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.