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Finding the Fourth Proportional to 2,936.66, 4,405.89 and 1,205.42

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Solution

The fourth proportional to 2,936.66, 4,405.89 and 1,205.42 is: 1,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.66 : 4,405.89 = 1,205.42 : x
  2. Step 2: Convert to fraction form
    2,936.66/4,405.89 = 1,205.42/x
  3. Step 3: Cross multiply
    2,936.66x = 4,405.89 × 1,205.42
  4. Step 4: Simplify right side
    2,936.66x = 5,310,947.92
  5. Step 5: Solve for x
    x = 5,310,947.92/2,936.66
  6. Step 6: Final answer
    x = 1,808.50

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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.