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Finding the Fourth Proportional to 2,226.12, 3,339.76 and 839.47

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Solution

The fourth proportional to 2,226.12, 3,339.76 and 839.47 is: 1,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.12 : 3,339.76 = 839.47 : x
  2. Step 2: Convert to fraction form
    2,226.12/3,339.76 = 839.47/x
  3. Step 3: Cross multiply
    2,226.12x = 3,339.76 × 839.47
  4. Step 4: Simplify right side
    2,226.12x = 2,803,628.33
  5. Step 5: Solve for x
    x = 2,803,628.33/2,226.12
  6. Step 6: Final answer
    x = 1,259.42

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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.