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Finding the Fourth Proportional to 3,193.92, 4,787.52 and 1,246.08

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Solution

The fourth proportional to 3,193.92, 4,787.52 and 1,246.08 is: 1,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.92 : 4,787.52 = 1,246.08 : x
  2. Step 2: Convert to fraction form
    3,193.92/4,787.52 = 1,246.08/x
  3. Step 3: Cross multiply
    3,193.92x = 4,787.52 × 1,246.08
  4. Step 4: Simplify right side
    3,193.92x = 5,965,632.92
  5. Step 5: Solve for x
    x = 5,965,632.92/3,193.92
  6. Step 6: Final answer
    x = 1,867.81

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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.