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Finding the Fourth Proportional to 2,226.63, 3,340.25 and 839.55

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Solution

The fourth proportional to 2,226.63, 3,340.25 and 839.55 is: 1,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.63 : 3,340.25 = 839.55 : x
  2. Step 2: Convert to fraction form
    2,226.63/3,340.25 = 839.55/x
  3. Step 3: Cross multiply
    2,226.63x = 3,340.25 × 839.55
  4. Step 4: Simplify right side
    2,226.63x = 2,804,302.69
  5. Step 5: Solve for x
    x = 2,804,302.69/2,226.63
  6. Step 6: Final answer
    x = 1,259.44

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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.