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Finding the Fourth Proportional to 3,305.04, 4,959.50 and 1,226.48

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Solution

The fourth proportional to 3,305.04, 4,959.50 and 1,226.48 is: 1,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.04 : 4,959.50 = 1,226.48 : x
  2. Step 2: Convert to fraction form
    3,305.04/4,959.50 = 1,226.48/x
  3. Step 3: Cross multiply
    3,305.04x = 4,959.50 × 1,226.48
  4. Step 4: Simplify right side
    3,305.04x = 6,082,727.56
  5. Step 5: Solve for x
    x = 6,082,727.56/3,305.04
  6. Step 6: Final answer
    x = 1,840.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.